Finding the Third Proportional to 51,849.50 and 76,680

Step by Step Solution

1. Step 1: Write the proportion equation
   51,849.50 : 76,680 = 76,680 : x
2. Step 2: Convert to fraction form
   51,849.50/76,680 = 76,680/x
3. Step 3: Cross multiply
   51,849.50x = 76,680 × 76,680
4. Step 4: Simplify right side
   51,849.50x = 5,879,822,400
5. Step 5: Solve for x
   x = 5,879,822,400/51,849.50
6. Step 6: Final answer
   x = 113,401.72