Finding the Third Proportional to 31,082 and 49,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,082 : 49,292.50 = 49,292.50 : x
2. Step 2: Convert to fraction form
   31,082/49,292.50 = 49,292.50/x
3. Step 3: Cross multiply
   31,082x = 49,292.50 × 49,292.50
4. Step 4: Simplify right side
   31,082x = 2,429,750,556.25
5. Step 5: Solve for x
   x = 2,429,750,556.25/31,082
6. Step 6: Final answer
   x = 78,172.27