Finding the Third Proportional to 26,878.50 and 42,693.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,878.50 : 42,693.75 = 42,693.75 : x
2. Step 2: Convert to fraction form
   26,878.50/42,693.75 = 42,693.75/x
3. Step 3: Cross multiply
   26,878.50x = 42,693.75 × 42,693.75
4. Step 4: Simplify right side
   26,878.50x = 1,822,756,289.06
5. Step 5: Solve for x
   x = 1,822,756,289.06/26,878.50
6. Step 6: Final answer
   x = 67,814.66