Finding the Third Proportional to 25,082 and 59,205

Step by Step Solution

1. Step 1: Write the proportion equation
   25,082 : 59,205 = 59,205 : x
2. Step 2: Convert to fraction form
   25,082/59,205 = 59,205/x
3. Step 3: Cross multiply
   25,082x = 59,205 × 59,205
4. Step 4: Simplify right side
   25,082x = 3,505,232,025
5. Step 5: Solve for x
   x = 3,505,232,025/25,082
6. Step 6: Final answer
   x = 139,750.90