Finding the Third Proportional to 2,149.88 and 5,023.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.88 : 5,023.69 = 5,023.69 : x
2. Step 2: Convert to fraction form
   2,149.88/5,023.69 = 5,023.69/x
3. Step 3: Cross multiply
   2,149.88x = 5,023.69 × 5,023.69
4. Step 4: Simplify right side
   2,149.88x = 25,237,436.10
5. Step 5: Solve for x
   x = 25,237,436.10/2,149.88
6. Step 6: Final answer
   x = 11,739.02