Finding the Third Proportional to 5,325.75 and 12,664.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,325.75 : 12,664.69 = 12,664.69 : x
2. Step 2: Convert to fraction form
   5,325.75/12,664.69 = 12,664.69/x
3. Step 3: Cross multiply
   5,325.75x = 12,664.69 × 12,664.69
4. Step 4: Simplify right side
   5,325.75x = 160,394,309.47
5. Step 5: Solve for x
   x = 160,394,309.47/5,325.75
6. Step 6: Final answer
   x = 30,116.76