Finding the Third Proportional to 2,029 and 3,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,029 : 3,311.50 = 3,311.50 : x
2. Step 2: Convert to fraction form
   2,029/3,311.50 = 3,311.50/x
3. Step 3: Cross multiply
   2,029x = 3,311.50 × 3,311.50
4. Step 4: Simplify right side
   2,029x = 10,966,032.25
5. Step 5: Solve for x
   x = 10,966,032.25/2,029
6. Step 6: Final answer
   x = 5,404.65