Finding the Third Proportional to 1,182.09 and 3,031.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.09 : 3,031.17 = 3,031.17 : x
2. Step 2: Convert to fraction form
   1,182.09/3,031.17 = 3,031.17/x
3. Step 3: Cross multiply
   1,182.09x = 3,031.17 × 3,031.17
4. Step 4: Simplify right side
   1,182.09x = 9,188,002.94
5. Step 5: Solve for x
   x = 9,188,002.94/1,182.09
6. Step 6: Final answer
   x = 7,772.65