Finding the Third Proportional to 2,166 and 3,264.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 3,264.75 = 3,264.75 : x
2. Step 2: Convert to fraction form
   2,166/3,264.75 = 3,264.75/x
3. Step 3: Cross multiply
   2,166x = 3,264.75 × 3,264.75
4. Step 4: Simplify right side
   2,166x = 10,658,592.56
5. Step 5: Solve for x
   x = 10,658,592.56/2,166
6. Step 6: Final answer
   x = 4,920.86