Finding the Third Proportional to 1,048.78 and 1,423.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,048.78 : 1,423.83 = 1,423.83 : x
2. Step 2: Convert to fraction form
   1,048.78/1,423.83 = 1,423.83/x
3. Step 3: Cross multiply
   1,048.78x = 1,423.83 × 1,423.83
4. Step 4: Simplify right side
   1,048.78x = 2,027,286.53
5. Step 5: Solve for x
   x = 2,027,286.53/1,048.78
6. Step 6: Final answer
   x = 1,932.99