Finding the Third Proportional to 31,828 and 49,200

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828 : 49,200 = 49,200 : x
2. Step 2: Convert to fraction form
   31,828/49,200 = 49,200/x
3. Step 3: Cross multiply
   31,828x = 49,200 × 49,200
4. Step 4: Simplify right side
   31,828x = 2,420,640,000
5. Step 5: Solve for x
   x = 2,420,640,000/31,828
6. Step 6: Final answer
   x = 76,053.79