Finding the Third Proportional to 3,565.13 and 7,813.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,565.13 : 7,813.69 = 7,813.69 : x
2. Step 2: Convert to fraction form
   3,565.13/7,813.69 = 7,813.69/x
3. Step 3: Cross multiply
   3,565.13x = 7,813.69 × 7,813.69
4. Step 4: Simplify right side
   3,565.13x = 61,053,712.35
5. Step 5: Solve for x
   x = 61,053,712.35/3,565.13
6. Step 6: Final answer
   x = 17,125.27