Finding the Third Proportional to 31,507.50 and 65,526

Step by Step Solution

1. Step 1: Write the proportion equation
   31,507.50 : 65,526 = 65,526 : x
2. Step 2: Convert to fraction form
   31,507.50/65,526 = 65,526/x
3. Step 3: Cross multiply
   31,507.50x = 65,526 × 65,526
4. Step 4: Simplify right side
   31,507.50x = 4,293,656,676
5. Step 5: Solve for x
   x = 4,293,656,676/31,507.50
6. Step 6: Final answer
   x = 136,274.11