Finding the Third Proportional to 2,109 and 4,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109 : 4,354.50 = 4,354.50 : x
2. Step 2: Convert to fraction form
   2,109/4,354.50 = 4,354.50/x
3. Step 3: Cross multiply
   2,109x = 4,354.50 × 4,354.50
4. Step 4: Simplify right side
   2,109x = 18,961,670.25
5. Step 5: Solve for x
   x = 18,961,670.25/2,109
6. Step 6: Final answer
   x = 8,990.83