Finding the Third Proportional to 10,784 and 24,920

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 24,920 = 24,920 : x
2. Step 2: Convert to fraction form
   10,784/24,920 = 24,920/x
3. Step 3: Cross multiply
   10,784x = 24,920 × 24,920
4. Step 4: Simplify right side
   10,784x = 621,006,400
5. Step 5: Solve for x
   x = 621,006,400/10,784
6. Step 6: Final answer
   x = 57,585.91