Finding the Third Proportional to 9,434 and 25,655

Step by Step Solution

1. Step 1: Write the proportion equation
   9,434 : 25,655 = 25,655 : x
2. Step 2: Convert to fraction form
   9,434/25,655 = 25,655/x
3. Step 3: Cross multiply
   9,434x = 25,655 × 25,655
4. Step 4: Simplify right side
   9,434x = 658,179,025
5. Step 5: Solve for x
   x = 658,179,025/9,434
6. Step 6: Final answer
   x = 69,766.70