Finding the Third Proportional to 49,843 and 71,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,843 : 71,092.50 = 71,092.50 : x
2. Step 2: Convert to fraction form
   49,843/71,092.50 = 71,092.50/x
3. Step 3: Cross multiply
   49,843x = 71,092.50 × 71,092.50
4. Step 4: Simplify right side
   49,843x = 5,054,143,556.25
5. Step 5: Solve for x
   x = 5,054,143,556.25/49,843
6. Step 6: Final answer
   x = 101,401.27