Finding the Third Proportional to 26,414 and 58,012

Step by Step Solution

1. Step 1: Write the proportion equation
   26,414 : 58,012 = 58,012 : x
2. Step 2: Convert to fraction form
   26,414/58,012 = 58,012/x
3. Step 3: Cross multiply
   26,414x = 58,012 × 58,012
4. Step 4: Simplify right side
   26,414x = 3,365,392,144
5. Step 5: Solve for x
   x = 3,365,392,144/26,414
6. Step 6: Final answer
   x = 127,409.41