Finding the Third Proportional to 6,565.50 and 10,395.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,565.50 : 10,395.75 = 10,395.75 : x
2. Step 2: Convert to fraction form
   6,565.50/10,395.75 = 10,395.75/x
3. Step 3: Cross multiply
   6,565.50x = 10,395.75 × 10,395.75
4. Step 4: Simplify right side
   6,565.50x = 108,071,618.06
5. Step 5: Solve for x
   x = 108,071,618.06/6,565.50
6. Step 6: Final answer
   x = 16,460.53