Finding the Third Proportional to 2,776.50 and 4,151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,776.50 : 4,151.25 = 4,151.25 : x
2. Step 2: Convert to fraction form
   2,776.50/4,151.25 = 4,151.25/x
3. Step 3: Cross multiply
   2,776.50x = 4,151.25 × 4,151.25
4. Step 4: Simplify right side
   2,776.50x = 17,232,876.56
5. Step 5: Solve for x
   x = 17,232,876.56/2,776.50
6. Step 6: Final answer
   x = 6,206.69