Finding the Third Proportional to 2,199.81 and 4,775.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,199.81 : 4,775.52 = 4,775.52 : x
2. Step 2: Convert to fraction form
   2,199.81/4,775.52 = 4,775.52/x
3. Step 3: Cross multiply
   2,199.81x = 4,775.52 × 4,775.52
4. Step 4: Simplify right side
   2,199.81x = 22,805,586.79
5. Step 5: Solve for x
   x = 22,805,586.79/2,199.81
6. Step 6: Final answer
   x = 10,367.05