Finding the Third Proportional to 25,200 and 55,406

Step by Step Solution

1. Step 1: Write the proportion equation
   25,200 : 55,406 = 55,406 : x
2. Step 2: Convert to fraction form
   25,200/55,406 = 55,406/x
3. Step 3: Cross multiply
   25,200x = 55,406 × 55,406
4. Step 4: Simplify right side
   25,200x = 3,069,824,836
5. Step 5: Solve for x
   x = 3,069,824,836/25,200
6. Step 6: Final answer
   x = 121,818.45