Finding the Third Proportional to 2,466.63 and 5,284.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.63 : 5,284.25 = 5,284.25 : x
2. Step 2: Convert to fraction form
   2,466.63/5,284.25 = 5,284.25/x
3. Step 3: Cross multiply
   2,466.63x = 5,284.25 × 5,284.25
4. Step 4: Simplify right side
   2,466.63x = 27,923,298.06
5. Step 5: Solve for x
   x = 27,923,298.06/2,466.63
6. Step 6: Final answer
   x = 11,320.45