Finding the Third Proportional to 26,494 and 57,290

Step by Step Solution

1. Step 1: Write the proportion equation
   26,494 : 57,290 = 57,290 : x
2. Step 2: Convert to fraction form
   26,494/57,290 = 57,290/x
3. Step 3: Cross multiply
   26,494x = 57,290 × 57,290
4. Step 4: Simplify right side
   26,494x = 3,282,144,100
5. Step 5: Solve for x
   x = 3,282,144,100/26,494
6. Step 6: Final answer
   x = 123,882.54