Finding the Third Proportional to 49,540 and 74,838

Step by Step Solution

1. Step 1: Write the proportion equation
   49,540 : 74,838 = 74,838 : x
2. Step 2: Convert to fraction form
   49,540/74,838 = 74,838/x
3. Step 3: Cross multiply
   49,540x = 74,838 × 74,838
4. Step 4: Simplify right side
   49,540x = 5,600,726,244
5. Step 5: Solve for x
   x = 5,600,726,244/49,540
6. Step 6: Final answer
   x = 113,054.63