Finding the Third Proportional to 2,384 and 5,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384 : 5,229.50 = 5,229.50 : x
2. Step 2: Convert to fraction form
   2,384/5,229.50 = 5,229.50/x
3. Step 3: Cross multiply
   2,384x = 5,229.50 × 5,229.50
4. Step 4: Simplify right side
   2,384x = 27,347,670.25
5. Step 5: Solve for x
   x = 27,347,670.25/2,384
6. Step 6: Final answer
   x = 11,471.34