Finding the Third Proportional to 49,850 and 71,102

Step by Step Solution

1. Step 1: Write the proportion equation
   49,850 : 71,102 = 71,102 : x
2. Step 2: Convert to fraction form
   49,850/71,102 = 71,102/x
3. Step 3: Cross multiply
   49,850x = 71,102 × 71,102
4. Step 4: Simplify right side
   49,850x = 5,055,494,404
5. Step 5: Solve for x
   x = 5,055,494,404/49,850
6. Step 6: Final answer
   x = 101,414.13