Finding the Third Proportional to 26,834 and 58,980

Step by Step Solution

1. Step 1: Write the proportion equation
   26,834 : 58,980 = 58,980 : x
2. Step 2: Convert to fraction form
   26,834/58,980 = 58,980/x
3. Step 3: Cross multiply
   26,834x = 58,980 × 58,980
4. Step 4: Simplify right side
   26,834x = 3,478,640,400
5. Step 5: Solve for x
   x = 3,478,640,400/26,834
6. Step 6: Final answer
   x = 129,635.55