Finding the Third Proportional to 7,650 and 10,295

Step by Step Solution

1. Step 1: Write the proportion equation
   7,650 : 10,295 = 10,295 : x
2. Step 2: Convert to fraction form
   7,650/10,295 = 10,295/x
3. Step 3: Cross multiply
   7,650x = 10,295 × 10,295
4. Step 4: Simplify right side
   7,650x = 105,987,025
5. Step 5: Solve for x
   x = 105,987,025/7,650
6. Step 6: Final answer
   x = 13,854.51