Finding the Third Proportional to 2,263.50 and 4,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.50 : 4,826.25 = 4,826.25 : x
2. Step 2: Convert to fraction form
   2,263.50/4,826.25 = 4,826.25/x
3. Step 3: Cross multiply
   2,263.50x = 4,826.25 × 4,826.25
4. Step 4: Simplify right side
   2,263.50x = 23,292,689.06
5. Step 5: Solve for x
   x = 23,292,689.06/2,263.50
6. Step 6: Final answer
   x = 10,290.56