Finding the Third Proportional to 1,162.69 and 1,665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.69 : 1,665.14 = 1,665.14 : x
2. Step 2: Convert to fraction form
   1,162.69/1,665.14 = 1,665.14/x
3. Step 3: Cross multiply
   1,162.69x = 1,665.14 × 1,665.14
4. Step 4: Simplify right side
   1,162.69x = 2,772,693.30
5. Step 5: Solve for x
   x = 2,772,693.30/1,162.69
6. Step 6: Final answer
   x = 2,384.73