Finding the Third Proportional to 2,151.75 and 4,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,151.75 : 4,665.75 = 4,665.75 : x
2. Step 2: Convert to fraction form
   2,151.75/4,665.75 = 4,665.75/x
3. Step 3: Cross multiply
   2,151.75x = 4,665.75 × 4,665.75
4. Step 4: Simplify right side
   2,151.75x = 21,769,223.06
5. Step 5: Solve for x
   x = 21,769,223.06/2,151.75
6. Step 6: Final answer
   x = 10,116.99