Finding the Third Proportional to 1,522.69 and 3,439.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.69 : 3,439.20 = 3,439.20 : x
2. Step 2: Convert to fraction form
   1,522.69/3,439.20 = 3,439.20/x
3. Step 3: Cross multiply
   1,522.69x = 3,439.20 × 3,439.20
4. Step 4: Simplify right side
   1,522.69x = 11,828,064.40
5. Step 5: Solve for x
   x = 11,828,064.40/1,522.69
6. Step 6: Final answer
   x = 7,767.89