Finding the Third Proportional to 1,626.50 and 2,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,626.50 : 2,180.75 = 2,180.75 : x
2. Step 2: Convert to fraction form
   1,626.50/2,180.75 = 2,180.75/x
3. Step 3: Cross multiply
   1,626.50x = 2,180.75 × 2,180.75
4. Step 4: Simplify right side
   1,626.50x = 4,755,670.56
5. Step 5: Solve for x
   x = 4,755,670.56/1,626.50
6. Step 6: Final answer
   x = 2,923.87