Finding the Third Proportional to 40,899 and 86,513.63

Step by Step Solution

1. Step 1: Write the proportion equation
   40,899 : 86,513.63 = 86,513.63 : x
2. Step 2: Convert to fraction form
   40,899/86,513.63 = 86,513.63/x
3. Step 3: Cross multiply
   40,899x = 86,513.63 × 86,513.63
4. Step 4: Simplify right side
   40,899x = 7,484,607,310.64
5. Step 5: Solve for x
   x = 7,484,607,310.64/40,899
6. Step 6: Final answer
   x = 183,002.21