Finding the Third Proportional to 1,065.38 and 1,653.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.38 : 1,653.94 = 1,653.94 : x
2. Step 2: Convert to fraction form
   1,065.38/1,653.94 = 1,653.94/x
3. Step 3: Cross multiply
   1,065.38x = 1,653.94 × 1,653.94
4. Step 4: Simplify right side
   1,065.38x = 2,735,509.25
5. Step 5: Solve for x
   x = 2,735,509.25/1,065.38
6. Step 6: Final answer
   x = 2,567.65