Finding the Third Proportional to 8,513,373,213,218 and 17,630,204,105,668

Step by Step Solution

1. Step 1: Write the proportion equation
   8,513,373,213,218 : 17,630,204,105,668 = 17,630,204,105,668 : x
2. Step 2: Convert to fraction form
   8,513,373,213,218/17,630,204,105,668 = 17,630,204,105,668/x
3. Step 3: Cross multiply
   8,513,373,213,218x = 17,630,204,105,668 × 17,630,204,105,668
4. Step 4: Simplify right side
   8,513,373,213,218x = 310,824,096,807,512,794,462,158,848
5. Step 5: Solve for x
   x = 310,824,096,807,512,794,462,158,848/8,513,373,213,218
6. Step 6: Final answer
   x = 36,510,098,761,431.29