Finding the Third Proportional to 1,429.73 and 2,138.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.73 : 2,138.27 = 2,138.27 : x
2. Step 2: Convert to fraction form
   1,429.73/2,138.27 = 2,138.27/x
3. Step 3: Cross multiply
   1,429.73x = 2,138.27 × 2,138.27
4. Step 4: Simplify right side
   1,429.73x = 4,572,213.29
5. Step 5: Solve for x
   x = 4,572,213.29/1,429.73
6. Step 6: Final answer
   x = 3,197.95