Finding the Third Proportional to 26,082 and 57,456

Step by Step Solution

1. Step 1: Write the proportion equation
   26,082 : 57,456 = 57,456 : x
2. Step 2: Convert to fraction form
   26,082/57,456 = 57,456/x
3. Step 3: Cross multiply
   26,082x = 57,456 × 57,456
4. Step 4: Simplify right side
   26,082x = 3,301,191,936
5. Step 5: Solve for x
   x = 3,301,191,936/26,082
6. Step 6: Final answer
   x = 126,569.74