Finding the Third Proportional to 25,538 and 59,346

Step by Step Solution

1. Step 1: Write the proportion equation
   25,538 : 59,346 = 59,346 : x
2. Step 2: Convert to fraction form
   25,538/59,346 = 59,346/x
3. Step 3: Cross multiply
   25,538x = 59,346 × 59,346
4. Step 4: Simplify right side
   25,538x = 3,521,947,716
5. Step 5: Solve for x
   x = 3,521,947,716/25,538
6. Step 6: Final answer
   x = 137,910.08