Finding the Third Proportional to 32,294 and 49,872

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 49,872 = 49,872 : x
2. Step 2: Convert to fraction form
   32,294/49,872 = 49,872/x
3. Step 3: Cross multiply
   32,294x = 49,872 × 49,872
4. Step 4: Simplify right side
   32,294x = 2,487,216,384
5. Step 5: Solve for x
   x = 2,487,216,384/32,294
6. Step 6: Final answer
   x = 77,017.91