Finding the Third Proportional to 1,351.69 and 1,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.69 : 1,462.75 = 1,462.75 : x
2. Step 2: Convert to fraction form
   1,351.69/1,462.75 = 1,462.75/x
3. Step 3: Cross multiply
   1,351.69x = 1,462.75 × 1,462.75
4. Step 4: Simplify right side
   1,351.69x = 2,139,626.13
5. Step 5: Solve for x
   x = 2,139,626.13/1,351.69
6. Step 6: Final answer
   x = 1,582.93