Finding the Third Proportional to 25,082 and 59,206

Step by Step Solution

1. Step 1: Write the proportion equation
   25,082 : 59,206 = 59,206 : x
2. Step 2: Convert to fraction form
   25,082/59,206 = 59,206/x
3. Step 3: Cross multiply
   25,082x = 59,206 × 59,206
4. Step 4: Simplify right side
   25,082x = 3,505,350,436
5. Step 5: Solve for x
   x = 3,505,350,436/25,082
6. Step 6: Final answer
   x = 139,755.62