Finding the Third Proportional to 1,468.69 and 3,489.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.69 : 3,489.75 = 3,489.75 : x
2. Step 2: Convert to fraction form
   1,468.69/3,489.75 = 3,489.75/x
3. Step 3: Cross multiply
   1,468.69x = 3,489.75 × 3,489.75
4. Step 4: Simplify right side
   1,468.69x = 12,178,355.06
5. Step 5: Solve for x
   x = 12,178,355.06/1,468.69
6. Step 6: Final answer
   x = 8,292.00