Finding the Third Proportional to 2,077.88 and 4,464

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.88 : 4,464 = 4,464 : x
2. Step 2: Convert to fraction form
   2,077.88/4,464 = 4,464/x
3. Step 3: Cross multiply
   2,077.88x = 4,464 × 4,464
4. Step 4: Simplify right side
   2,077.88x = 19,927,296
5. Step 5: Solve for x
   x = 19,927,296/2,077.88
6. Step 6: Final answer
   x = 9,590.23