Finding the Third Proportional to 25,536 and 59,339

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536 : 59,339 = 59,339 : x
2. Step 2: Convert to fraction form
   25,536/59,339 = 59,339/x
3. Step 3: Cross multiply
   25,536x = 59,339 × 59,339
4. Step 4: Simplify right side
   25,536x = 3,521,116,921
5. Step 5: Solve for x
   x = 3,521,116,921/25,536
6. Step 6: Final answer
   x = 137,888.35