Finding the Third Proportional to 30,788 and 49,582

Step by Step Solution

1. Step 1: Write the proportion equation
   30,788 : 49,582 = 49,582 : x
2. Step 2: Convert to fraction form
   30,788/49,582 = 49,582/x
3. Step 3: Cross multiply
   30,788x = 49,582 × 49,582
4. Step 4: Simplify right side
   30,788x = 2,458,374,724
5. Step 5: Solve for x
   x = 2,458,374,724/30,788
6. Step 6: Final answer
   x = 79,848.47