Finding the Third Proportional to 1,769.25 and 3,826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.25 : 3,826.88 = 3,826.88 : x
2. Step 2: Convert to fraction form
   1,769.25/3,826.88 = 3,826.88/x
3. Step 3: Cross multiply
   1,769.25x = 3,826.88 × 3,826.88
4. Step 4: Simplify right side
   1,769.25x = 14,644,972.27
5. Step 5: Solve for x
   x = 14,644,972.27/1,769.25
6. Step 6: Final answer
   x = 8,277.50