Finding the Third Proportional to 49,540 and 76,744

Step by Step Solution

1. Step 1: Write the proportion equation
   49,540 : 76,744 = 76,744 : x
2. Step 2: Convert to fraction form
   49,540/76,744 = 76,744/x
3. Step 3: Cross multiply
   49,540x = 76,744 × 76,744
4. Step 4: Simplify right side
   49,540x = 5,889,641,536
5. Step 5: Solve for x
   x = 5,889,641,536/49,540
6. Step 6: Final answer
   x = 118,886.59