Finding the Third Proportional to 25,598 and 59,297

Step by Step Solution

1. Step 1: Write the proportion equation
   25,598 : 59,297 = 59,297 : x
2. Step 2: Convert to fraction form
   25,598/59,297 = 59,297/x
3. Step 3: Cross multiply
   25,598x = 59,297 × 59,297
4. Step 4: Simplify right side
   25,598x = 3,516,134,209
5. Step 5: Solve for x
   x = 3,516,134,209/25,598
6. Step 6: Final answer
   x = 137,359.72