Finding the Third Proportional to 814.50 and 1,785.38

Step by Step Solution

1. Step 1: Write the proportion equation
   814.50 : 1,785.38 = 1,785.38 : x
2. Step 2: Convert to fraction form
   814.50/1,785.38 = 1,785.38/x
3. Step 3: Cross multiply
   814.50x = 1,785.38 × 1,785.38
4. Step 4: Simplify right side
   814.50x = 3,187,563.89
5. Step 5: Solve for x
   x = 3,187,563.89/814.50
6. Step 6: Final answer
   x = 3,913.52