Finding the Third Proportional to 31,120 and 49,478

Step by Step Solution

1. Step 1: Write the proportion equation
   31,120 : 49,478 = 49,478 : x
2. Step 2: Convert to fraction form
   31,120/49,478 = 49,478/x
3. Step 3: Cross multiply
   31,120x = 49,478 × 49,478
4. Step 4: Simplify right side
   31,120x = 2,448,072,484
5. Step 5: Solve for x
   x = 2,448,072,484/31,120
6. Step 6: Final answer
   x = 78,665.57