Finding the Third Proportional to 1,732.50 and 3,713.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,732.50 : 3,713.06 = 3,713.06 : x
2. Step 2: Convert to fraction form
   1,732.50/3,713.06 = 3,713.06/x
3. Step 3: Cross multiply
   1,732.50x = 3,713.06 × 3,713.06
4. Step 4: Simplify right side
   1,732.50x = 13,786,833.13
5. Step 5: Solve for x
   x = 13,786,833.13/1,732.50
6. Step 6: Final answer
   x = 7,957.77