Finding the Third Proportional to 9,655.88 and 15,823.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.88 : 15,823.69 = 15,823.69 : x
2. Step 2: Convert to fraction form
   9,655.88/15,823.69 = 15,823.69/x
3. Step 3: Cross multiply
   9,655.88x = 15,823.69 × 15,823.69
4. Step 4: Simplify right side
   9,655.88x = 250,389,086.10
5. Step 5: Solve for x
   x = 250,389,086.10/9,655.88
6. Step 6: Final answer
   x = 25,931.27