Finding the Third Proportional to 1,006.17 and 2,168.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.17 : 2,168.02 = 2,168.02 : x
2. Step 2: Convert to fraction form
   1,006.17/2,168.02 = 2,168.02/x
3. Step 3: Cross multiply
   1,006.17x = 2,168.02 × 2,168.02
4. Step 4: Simplify right side
   1,006.17x = 4,700,291.75
5. Step 5: Solve for x
   x = 4,700,291.75/1,006.17
6. Step 6: Final answer
   x = 4,671.46