Finding the Third Proportional to 32,345 and 49,382

Step by Step Solution

1. Step 1: Write the proportion equation
   32,345 : 49,382 = 49,382 : x
2. Step 2: Convert to fraction form
   32,345/49,382 = 49,382/x
3. Step 3: Cross multiply
   32,345x = 49,382 × 49,382
4. Step 4: Simplify right side
   32,345x = 2,438,581,924
5. Step 5: Solve for x
   x = 2,438,581,924/32,345
6. Step 6: Final answer
   x = 75,392.86