Finding the Third Proportional to 49,542 and 76,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,542 : 76,744.50 = 76,744.50 : x
2. Step 2: Convert to fraction form
   49,542/76,744.50 = 76,744.50/x
3. Step 3: Cross multiply
   49,542x = 76,744.50 × 76,744.50
4. Step 4: Simplify right side
   49,542x = 5,889,718,280.25
5. Step 5: Solve for x
   x = 5,889,718,280.25/49,542
6. Step 6: Final answer
   x = 118,883.34