Finding the Third Proportional to 565.31 and 1,382.06

Step by Step Solution

1. Step 1: Write the proportion equation
   565.31 : 1,382.06 = 1,382.06 : x
2. Step 2: Convert to fraction form
   565.31/1,382.06 = 1,382.06/x
3. Step 3: Cross multiply
   565.31x = 1,382.06 × 1,382.06
4. Step 4: Simplify right side
   565.31x = 1,910,096.75
5. Step 5: Solve for x
   x = 1,910,096.75/565.31
6. Step 6: Final answer
   x = 3,378.83