Finding the Third Proportional to 49,108.50 and 76,821.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,108.50 : 76,821.75 = 76,821.75 : x
2. Step 2: Convert to fraction form
   49,108.50/76,821.75 = 76,821.75/x
3. Step 3: Cross multiply
   49,108.50x = 76,821.75 × 76,821.75
4. Step 4: Simplify right side
   49,108.50x = 5,901,581,273.06
5. Step 5: Solve for x
   x = 5,901,581,273.06/49,108.50
6. Step 6: Final answer
   x = 120,174.33