Finding the Third Proportional to 31,673 and 49,454

Step by Step Solution

1. Step 1: Write the proportion equation
   31,673 : 49,454 = 49,454 : x
2. Step 2: Convert to fraction form
   31,673/49,454 = 49,454/x
3. Step 3: Cross multiply
   31,673x = 49,454 × 49,454
4. Step 4: Simplify right side
   31,673x = 2,445,698,116
5. Step 5: Solve for x
   x = 2,445,698,116/31,673
6. Step 6: Final answer
   x = 77,217.13