Finding the Third Proportional to 1,065.75 and 1,563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.75 : 1,563.38 = 1,563.38 : x
2. Step 2: Convert to fraction form
   1,065.75/1,563.38 = 1,563.38/x
3. Step 3: Cross multiply
   1,065.75x = 1,563.38 × 1,563.38
4. Step 4: Simplify right side
   1,065.75x = 2,444,141.39
5. Step 5: Solve for x
   x = 2,444,141.39/1,065.75
6. Step 6: Final answer
   x = 2,293.35