Finding the Third Proportional to 2,385 and 5,221.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385 : 5,221.88 = 5,221.88 : x
2. Step 2: Convert to fraction form
   2,385/5,221.88 = 5,221.88/x
3. Step 3: Cross multiply
   2,385x = 5,221.88 × 5,221.88
4. Step 4: Simplify right side
   2,385x = 27,267,978.52
5. Step 5: Solve for x
   x = 27,267,978.52/2,385
6. Step 6: Final answer
   x = 11,433.11