Finding the Third Proportional to 1,627.59 and 3,531.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.59 : 3,531.94 = 3,531.94 : x
2. Step 2: Convert to fraction form
   1,627.59/3,531.94 = 3,531.94/x
3. Step 3: Cross multiply
   1,627.59x = 3,531.94 × 3,531.94
4. Step 4: Simplify right side
   1,627.59x = 12,474,582.50
5. Step 5: Solve for x
   x = 12,474,582.50/1,627.59
6. Step 6: Final answer
   x = 7,664.43