Finding the Third Proportional to 7,593.75 and 15,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,593.75 : 15,565.50 = 15,565.50 : x
2. Step 2: Convert to fraction form
   7,593.75/15,565.50 = 15,565.50/x
3. Step 3: Cross multiply
   7,593.75x = 15,565.50 × 15,565.50
4. Step 4: Simplify right side
   7,593.75x = 242,284,790.25
5. Step 5: Solve for x
   x = 242,284,790.25/7,593.75
6. Step 6: Final answer
   x = 31,905.82