Finding the Third Proportional to 2,804 and 5,152

Step by Step Solution

1. Step 1: Write the proportion equation
   2,804 : 5,152 = 5,152 : x
2. Step 2: Convert to fraction form
   2,804/5,152 = 5,152/x
3. Step 3: Cross multiply
   2,804x = 5,152 × 5,152
4. Step 4: Simplify right side
   2,804x = 26,543,104
5. Step 5: Solve for x
   x = 26,543,104/2,804
6. Step 6: Final answer
   x = 9,466.16