Finding the Third Proportional to 49,657.50 and 76,947.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,657.50 : 76,947.75 = 76,947.75 : x
2. Step 2: Convert to fraction form
   49,657.50/76,947.75 = 76,947.75/x
3. Step 3: Cross multiply
   49,657.50x = 76,947.75 × 76,947.75
4. Step 4: Simplify right side
   49,657.50x = 5,920,956,230.06
5. Step 5: Solve for x
   x = 5,920,956,230.06/49,657.50
6. Step 6: Final answer
   x = 119,235.89