Finding the Third Proportional to 1,162.13 and 1,780.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.13 : 1,780.31 = 1,780.31 : x
2. Step 2: Convert to fraction form
   1,162.13/1,780.31 = 1,780.31/x
3. Step 3: Cross multiply
   1,162.13x = 1,780.31 × 1,780.31
4. Step 4: Simplify right side
   1,162.13x = 3,169,512.60
5. Step 5: Solve for x
   x = 3,169,512.60/1,162.13
6. Step 6: Final answer
   x = 2,727.34