Finding the Third Proportional to 25,232 and 53,538

Step by Step Solution

1. Step 1: Write the proportion equation
   25,232 : 53,538 = 53,538 : x
2. Step 2: Convert to fraction form
   25,232/53,538 = 53,538/x
3. Step 3: Cross multiply
   25,232x = 53,538 × 53,538
4. Step 4: Simplify right side
   25,232x = 2,866,317,444
5. Step 5: Solve for x
   x = 2,866,317,444/25,232
6. Step 6: Final answer
   x = 113,598.50