Finding the Third Proportional to 25,541 and 59,352

Step by Step Solution

1. Step 1: Write the proportion equation
   25,541 : 59,352 = 59,352 : x
2. Step 2: Convert to fraction form
   25,541/59,352 = 59,352/x
3. Step 3: Cross multiply
   25,541x = 59,352 × 59,352
4. Step 4: Simplify right side
   25,541x = 3,522,659,904
5. Step 5: Solve for x
   x = 3,522,659,904/25,541
6. Step 6: Final answer
   x = 137,921.77