Finding the Third Proportional to 25,542 and 53,298

Step by Step Solution

1. Step 1: Write the proportion equation
   25,542 : 53,298 = 53,298 : x
2. Step 2: Convert to fraction form
   25,542/53,298 = 53,298/x
3. Step 3: Cross multiply
   25,542x = 53,298 × 53,298
4. Step 4: Simplify right side
   25,542x = 2,840,676,804
5. Step 5: Solve for x
   x = 2,840,676,804/25,542
6. Step 6: Final answer
   x = 111,215.91