Finding the Third Proportional to 2,159.16 and 4,665.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.16 : 4,665.09 = 4,665.09 : x
2. Step 2: Convert to fraction form
   2,159.16/4,665.09 = 4,665.09/x
3. Step 3: Cross multiply
   2,159.16x = 4,665.09 × 4,665.09
4. Step 4: Simplify right side
   2,159.16x = 21,763,099.70
5. Step 5: Solve for x
   x = 21,763,099.70/2,159.16
6. Step 6: Final answer
   x = 10,079.45