Finding the Third Proportional to 1,014.38 and 2,182.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.38 : 2,182.88 = 2,182.88 : x
2. Step 2: Convert to fraction form
   1,014.38/2,182.88 = 2,182.88/x
3. Step 3: Cross multiply
   1,014.38x = 2,182.88 × 2,182.88
4. Step 4: Simplify right side
   1,014.38x = 4,764,943.27
5. Step 5: Solve for x
   x = 4,764,943.27/1,014.38
6. Step 6: Final answer
   x = 4,697.42