Finding the Third Proportional to 54,774 and 82,470

Step by Step Solution

1. Step 1: Write the proportion equation
   54,774 : 82,470 = 82,470 : x
2. Step 2: Convert to fraction form
   54,774/82,470 = 82,470/x
3. Step 3: Cross multiply
   54,774x = 82,470 × 82,470
4. Step 4: Simplify right side
   54,774x = 6,801,300,900
5. Step 5: Solve for x
   x = 6,801,300,900/54,774
6. Step 6: Final answer
   x = 124,170.24