Finding the Third Proportional to 1,866.61 and 2,814.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,866.61 : 2,814.33 = 2,814.33 : x
2. Step 2: Convert to fraction form
   1,866.61/2,814.33 = 2,814.33/x
3. Step 3: Cross multiply
   1,866.61x = 2,814.33 × 2,814.33
4. Step 4: Simplify right side
   1,866.61x = 7,920,442.80
5. Step 5: Solve for x
   x = 7,920,442.80/1,866.61
6. Step 6: Final answer
   x = 4,243.22