Finding the Third Proportional to 1,182.09 and 1,773.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.09 : 1,773.14 = 1,773.14 : x
2. Step 2: Convert to fraction form
   1,182.09/1,773.14 = 1,773.14/x
3. Step 3: Cross multiply
   1,182.09x = 1,773.14 × 1,773.14
4. Step 4: Simplify right side
   1,182.09x = 3,144,027.68
5. Step 5: Solve for x
   x = 3,144,027.68/1,182.09
6. Step 6: Final answer
   x = 2,659.71