Finding the Third Proportional to 2,209 and 3,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209 : 3,096.50 = 3,096.50 : x
2. Step 2: Convert to fraction form
   2,209/3,096.50 = 3,096.50/x
3. Step 3: Cross multiply
   2,209x = 3,096.50 × 3,096.50
4. Step 4: Simplify right side
   2,209x = 9,588,312.25
5. Step 5: Solve for x
   x = 9,588,312.25/2,209
6. Step 6: Final answer
   x = 4,340.57