Finding the Third Proportional to 39,757.50 and 86,526.56

Step by Step Solution

1. Step 1: Write the proportion equation
   39,757.50 : 86,526.56 = 86,526.56 : x
2. Step 2: Convert to fraction form
   39,757.50/86,526.56 = 86,526.56/x
3. Step 3: Cross multiply
   39,757.50x = 86,526.56 × 86,526.56
4. Step 4: Simplify right side
   39,757.50x = 7,486,846,018.07
5. Step 5: Solve for x
   x = 7,486,846,018.07/39,757.50
6. Step 6: Final answer
   x = 188,312.80