Finding the Third Proportional to 25,406 and 55,396

Step by Step Solution

1. Step 1: Write the proportion equation
   25,406 : 55,396 = 55,396 : x
2. Step 2: Convert to fraction form
   25,406/55,396 = 55,396/x
3. Step 3: Cross multiply
   25,406x = 55,396 × 55,396
4. Step 4: Simplify right side
   25,406x = 3,068,716,816
5. Step 5: Solve for x
   x = 3,068,716,816/25,406
6. Step 6: Final answer
   x = 120,787.09