Finding the Third Proportional to 35,086 and 72,668

Step by Step Solution

1. Step 1: Write the proportion equation
   35,086 : 72,668 = 72,668 : x
2. Step 2: Convert to fraction form
   35,086/72,668 = 72,668/x
3. Step 3: Cross multiply
   35,086x = 72,668 × 72,668
4. Step 4: Simplify right side
   35,086x = 5,280,638,224
5. Step 5: Solve for x
   x = 5,280,638,224/35,086
6. Step 6: Final answer
   x = 150,505.56