Finding the Third Proportional to 25,538 and 59,345

Step by Step Solution

1. Step 1: Write the proportion equation
   25,538 : 59,345 = 59,345 : x
2. Step 2: Convert to fraction form
   25,538/59,345 = 59,345/x
3. Step 3: Cross multiply
   25,538x = 59,345 × 59,345
4. Step 4: Simplify right side
   25,538x = 3,521,829,025
5. Step 5: Solve for x
   x = 3,521,829,025/25,538
6. Step 6: Final answer
   x = 137,905.44