Finding the Third Proportional to 49,440 and 72,384

Step by Step Solution

1. Step 1: Write the proportion equation
   49,440 : 72,384 = 72,384 : x
2. Step 2: Convert to fraction form
   49,440/72,384 = 72,384/x
3. Step 3: Cross multiply
   49,440x = 72,384 × 72,384
4. Step 4: Simplify right side
   49,440x = 5,239,443,456
5. Step 5: Solve for x
   x = 5,239,443,456/49,440
6. Step 6: Final answer
   x = 105,975.80