Finding the Third Proportional to 61,165 and 86,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,165 : 86,131.50 = 86,131.50 : x
2. Step 2: Convert to fraction form
   61,165/86,131.50 = 86,131.50/x
3. Step 3: Cross multiply
   61,165x = 86,131.50 × 86,131.50
4. Step 4: Simplify right side
   61,165x = 7,418,635,292.25
5. Step 5: Solve for x
   x = 7,418,635,292.25/61,165
6. Step 6: Final answer
   x = 121,288.90