Finding the Third Proportional to 49,680 and 74,304

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 74,304 = 74,304 : x
2. Step 2: Convert to fraction form
   49,680/74,304 = 74,304/x
3. Step 3: Cross multiply
   49,680x = 74,304 × 74,304
4. Step 4: Simplify right side
   49,680x = 5,521,084,416
5. Step 5: Solve for x
   x = 5,521,084,416/49,680
6. Step 6: Final answer
   x = 111,132.94