Finding the Third Proportional to 2,569.50 and 4,872

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 4,872 = 4,872 : x
2. Step 2: Convert to fraction form
   2,569.50/4,872 = 4,872/x
3. Step 3: Cross multiply
   2,569.50x = 4,872 × 4,872
4. Step 4: Simplify right side
   2,569.50x = 23,736,384
5. Step 5: Solve for x
   x = 23,736,384/2,569.50
6. Step 6: Final answer
   x = 9,237.74