Finding the Third Proportional to 2,199.38 and 4,597.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,199.38 : 4,597.88 = 4,597.88 : x
2. Step 2: Convert to fraction form
   2,199.38/4,597.88 = 4,597.88/x
3. Step 3: Cross multiply
   2,199.38x = 4,597.88 × 4,597.88
4. Step 4: Simplify right side
   2,199.38x = 21,140,454.52
5. Step 5: Solve for x
   x = 21,140,454.52/2,199.38
6. Step 6: Final answer
   x = 9,612.03