Finding the Third Proportional to 31,028 and 49,323

Step by Step Solution

1. Step 1: Write the proportion equation
   31,028 : 49,323 = 49,323 : x
2. Step 2: Convert to fraction form
   31,028/49,323 = 49,323/x
3. Step 3: Cross multiply
   31,028x = 49,323 × 49,323
4. Step 4: Simplify right side
   31,028x = 2,432,758,329
5. Step 5: Solve for x
   x = 2,432,758,329/31,028
6. Step 6: Final answer
   x = 78,405.26