Finding the Third Proportional to 49,847 and 71,098

Step by Step Solution

1. Step 1: Write the proportion equation
   49,847 : 71,098 = 71,098 : x
2. Step 2: Convert to fraction form
   49,847/71,098 = 71,098/x
3. Step 3: Cross multiply
   49,847x = 71,098 × 71,098
4. Step 4: Simplify right side
   49,847x = 5,054,925,604
5. Step 5: Solve for x
   x = 5,054,925,604/49,847
6. Step 6: Final answer
   x = 101,408.82