Finding the Third Proportional to 31,574 and 49,022

Step by Step Solution

1. Step 1: Write the proportion equation
   31,574 : 49,022 = 49,022 : x
2. Step 2: Convert to fraction form
   31,574/49,022 = 49,022/x
3. Step 3: Cross multiply
   31,574x = 49,022 × 49,022
4. Step 4: Simplify right side
   31,574x = 2,403,156,484
5. Step 5: Solve for x
   x = 2,403,156,484/31,574
6. Step 6: Final answer
   x = 76,111.88