Finding the Third Proportional to 31,484 and 49,128

Step by Step Solution

1. Step 1: Write the proportion equation
   31,484 : 49,128 = 49,128 : x
2. Step 2: Convert to fraction form
   31,484/49,128 = 49,128/x
3. Step 3: Cross multiply
   31,484x = 49,128 × 49,128
4. Step 4: Simplify right side
   31,484x = 2,413,560,384
5. Step 5: Solve for x
   x = 2,413,560,384/31,484
6. Step 6: Final answer
   x = 76,659.90