Finding the Third Proportional to 49,396 and 71,406

Step by Step Solution

1. Step 1: Write the proportion equation
   49,396 : 71,406 = 71,406 : x
2. Step 2: Convert to fraction form
   49,396/71,406 = 71,406/x
3. Step 3: Cross multiply
   49,396x = 71,406 × 71,406
4. Step 4: Simplify right side
   49,396x = 5,098,816,836
5. Step 5: Solve for x
   x = 5,098,816,836/49,396
6. Step 6: Final answer
   x = 103,223.27