Finding the Third Proportional to 17,565.38 and 25,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,565.38 : 25,690.50 = 25,690.50 : x
2. Step 2: Convert to fraction form
   17,565.38/25,690.50 = 25,690.50/x
3. Step 3: Cross multiply
   17,565.38x = 25,690.50 × 25,690.50
4. Step 4: Simplify right side
   17,565.38x = 660,001,790.25
5. Step 5: Solve for x
   x = 660,001,790.25/17,565.38
6. Step 6: Final answer
   x = 37,574.02