Finding the Third Proportional to 2,189.85 and 4,618.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.85 : 4,618.90 = 4,618.90 : x
2. Step 2: Convert to fraction form
   2,189.85/4,618.90 = 4,618.90/x
3. Step 3: Cross multiply
   2,189.85x = 4,618.90 × 4,618.90
4. Step 4: Simplify right side
   2,189.85x = 21,334,222.78
5. Step 5: Solve for x
   x = 21,334,222.78/2,189.85
6. Step 6: Final answer
   x = 9,742.33