Finding the Third Proportional to 2,144.91 and 4,699.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144.91 : 4,699.88 = 4,699.88 : x
2. Step 2: Convert to fraction form
   2,144.91/4,699.88 = 4,699.88/x
3. Step 3: Cross multiply
   2,144.91x = 4,699.88 × 4,699.88
4. Step 4: Simplify right side
   2,144.91x = 22,088,825.02
5. Step 5: Solve for x
   x = 22,088,825.02/2,144.91
6. Step 6: Final answer
   x = 10,298.27