Finding the Third Proportional to 25,478 and 55,324

Step by Step Solution

1. Step 1: Write the proportion equation
   25,478 : 55,324 = 55,324 : x
2. Step 2: Convert to fraction form
   25,478/55,324 = 55,324/x
3. Step 3: Cross multiply
   25,478x = 55,324 × 55,324
4. Step 4: Simplify right side
   25,478x = 3,060,744,976
5. Step 5: Solve for x
   x = 3,060,744,976/25,478
6. Step 6: Final answer
   x = 120,132.86