Finding the Third Proportional to 31,123 and 49,484

Step by Step Solution

1. Step 1: Write the proportion equation
   31,123 : 49,484 = 49,484 : x
2. Step 2: Convert to fraction form
   31,123/49,484 = 49,484/x
3. Step 3: Cross multiply
   31,123x = 49,484 × 49,484
4. Step 4: Simplify right side
   31,123x = 2,448,666,256
5. Step 5: Solve for x
   x = 2,448,666,256/31,123
6. Step 6: Final answer
   x = 78,677.06