Finding the Third Proportional to 2,166 and 3,272.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 3,272.25 = 3,272.25 : x
2. Step 2: Convert to fraction form
   2,166/3,272.25 = 3,272.25/x
3. Step 3: Cross multiply
   2,166x = 3,272.25 × 3,272.25
4. Step 4: Simplify right side
   2,166x = 10,707,620.06
5. Step 5: Solve for x
   x = 10,707,620.06/2,166
6. Step 6: Final answer
   x = 4,943.50