Finding the Third Proportional to 11,734 and 25,466

Step by Step Solution

1. Step 1: Write the proportion equation
   11,734 : 25,466 = 25,466 : x
2. Step 2: Convert to fraction form
   11,734/25,466 = 25,466/x
3. Step 3: Cross multiply
   11,734x = 25,466 × 25,466
4. Step 4: Simplify right side
   11,734x = 648,517,156
5. Step 5: Solve for x
   x = 648,517,156/11,734
6. Step 6: Final answer
   x = 55,268.21