Finding the Third Proportional to 2,769.75 and 4,151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.75 : 4,151.25 = 4,151.25 : x
2. Step 2: Convert to fraction form
   2,769.75/4,151.25 = 4,151.25/x
3. Step 3: Cross multiply
   2,769.75x = 4,151.25 × 4,151.25
4. Step 4: Simplify right side
   2,769.75x = 17,232,876.56
5. Step 5: Solve for x
   x = 17,232,876.56/2,769.75
6. Step 6: Final answer
   x = 6,221.82