Finding the Third Proportional to 2,206.50 and 3,429

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206.50 : 3,429 = 3,429 : x
2. Step 2: Convert to fraction form
   2,206.50/3,429 = 3,429/x
3. Step 3: Cross multiply
   2,206.50x = 3,429 × 3,429
4. Step 4: Simplify right side
   2,206.50x = 11,758,041
5. Step 5: Solve for x
   x = 11,758,041/2,206.50
6. Step 6: Final answer
   x = 5,328.82