Finding the Third Proportional to 2,178 and 2,650

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178 : 2,650 = 2,650 : x
2. Step 2: Convert to fraction form
   2,178/2,650 = 2,650/x
3. Step 3: Cross multiply
   2,178x = 2,650 × 2,650
4. Step 4: Simplify right side
   2,178x = 7,022,500
5. Step 5: Solve for x
   x = 7,022,500/2,178
6. Step 6: Final answer
   x = 3,224.29