Finding the Third Proportional to 1,182.73 and 2,566.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.73 : 2,566.05 = 2,566.05 : x
2. Step 2: Convert to fraction form
   1,182.73/2,566.05 = 2,566.05/x
3. Step 3: Cross multiply
   1,182.73x = 2,566.05 × 2,566.05
4. Step 4: Simplify right side
   1,182.73x = 6,584,636.66
5. Step 5: Solve for x
   x = 6,584,636.66/1,182.73
6. Step 6: Final answer
   x = 5,567.34