Finding the Third Proportional to 26,978.25 and 59,310.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,978.25 : 59,310.75 = 59,310.75 : x
2. Step 2: Convert to fraction form
   26,978.25/59,310.75 = 59,310.75/x
3. Step 3: Cross multiply
   26,978.25x = 59,310.75 × 59,310.75
4. Step 4: Simplify right side
   26,978.25x = 3,517,765,065.56
5. Step 5: Solve for x
   x = 3,517,765,065.56/26,978.25
6. Step 6: Final answer
   x = 130,392.63