Finding the Third Proportional to 32,304 and 49,380

Step by Step Solution

1. Step 1: Write the proportion equation
   32,304 : 49,380 = 49,380 : x
2. Step 2: Convert to fraction form
   32,304/49,380 = 49,380/x
3. Step 3: Cross multiply
   32,304x = 49,380 × 49,380
4. Step 4: Simplify right side
   32,304x = 2,438,384,400
5. Step 5: Solve for x
   x = 2,438,384,400/32,304
6. Step 6: Final answer
   x = 75,482.43