Finding the Third Proportional to 1,429.50 and 2,039.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.50 : 2,039.25 = 2,039.25 : x
2. Step 2: Convert to fraction form
   1,429.50/2,039.25 = 2,039.25/x
3. Step 3: Cross multiply
   1,429.50x = 2,039.25 × 2,039.25
4. Step 4: Simplify right side
   1,429.50x = 4,158,540.56
5. Step 5: Solve for x
   x = 4,158,540.56/1,429.50
6. Step 6: Final answer
   x = 2,909.09