Finding the Third Proportional to 9,568.13 and 25,165.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.13 : 25,165.69 = 25,165.69 : x
2. Step 2: Convert to fraction form
   9,568.13/25,165.69 = 25,165.69/x
3. Step 3: Cross multiply
   9,568.13x = 25,165.69 × 25,165.69
4. Step 4: Simplify right side
   9,568.13x = 633,311,827.35
5. Step 5: Solve for x
   x = 633,311,827.35/9,568.13
6. Step 6: Final answer
   x = 66,189.75