Finding the Third Proportional to 1,627.88 and 3,517.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.88 : 3,517.88 = 3,517.88 : x
2. Step 2: Convert to fraction form
   1,627.88/3,517.88 = 3,517.88/x
3. Step 3: Cross multiply
   1,627.88x = 3,517.88 × 3,517.88
4. Step 4: Simplify right side
   1,627.88x = 12,375,444.52
5. Step 5: Solve for x
   x = 12,375,444.52/1,627.88
6. Step 6: Final answer
   x = 7,602.21