Finding the Third Proportional to 54,384 and 76,582

Step by Step Solution

1. Step 1: Write the proportion equation
   54,384 : 76,582 = 76,582 : x
2. Step 2: Convert to fraction form
   54,384/76,582 = 76,582/x
3. Step 3: Cross multiply
   54,384x = 76,582 × 76,582
4. Step 4: Simplify right side
   54,384x = 5,864,802,724
5. Step 5: Solve for x
   x = 5,864,802,724/54,384
6. Step 6: Final answer
   x = 107,840.59