Finding the Third Proportional to 2,166 and 3,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 3,178.50 = 3,178.50 : x
2. Step 2: Convert to fraction form
   2,166/3,178.50 = 3,178.50/x
3. Step 3: Cross multiply
   2,166x = 3,178.50 × 3,178.50
4. Step 4: Simplify right side
   2,166x = 10,102,862.25
5. Step 5: Solve for x
   x = 10,102,862.25/2,166
6. Step 6: Final answer
   x = 4,664.29