Finding the Third Proportional to 1,612.62 and 3,532.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,612.62 : 3,532.57 = 3,532.57 : x
2. Step 2: Convert to fraction form
   1,612.62/3,532.57 = 3,532.57/x
3. Step 3: Cross multiply
   1,612.62x = 3,532.57 × 3,532.57
4. Step 4: Simplify right side
   1,612.62x = 12,479,053.01
5. Step 5: Solve for x
   x = 12,479,053.01/1,612.62
6. Step 6: Final answer
   x = 7,738.39