Finding the Third Proportional to 25,102 and 53,540

Step by Step Solution

1. Step 1: Write the proportion equation
   25,102 : 53,540 = 53,540 : x
2. Step 2: Convert to fraction form
   25,102/53,540 = 53,540/x
3. Step 3: Cross multiply
   25,102x = 53,540 × 53,540
4. Step 4: Simplify right side
   25,102x = 2,866,531,600
5. Step 5: Solve for x
   x = 2,866,531,600/25,102
6. Step 6: Final answer
   x = 114,195.35