Finding the Third Proportional to 1,627.28 and 3,489.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.28 : 3,489.96 = 3,489.96 : x
2. Step 2: Convert to fraction form
   1,627.28/3,489.96 = 3,489.96/x
3. Step 3: Cross multiply
   1,627.28x = 3,489.96 × 3,489.96
4. Step 4: Simplify right side
   1,627.28x = 12,179,827.35
5. Step 5: Solve for x
   x = 12,179,827.35/1,627.28
6. Step 6: Final answer
   x = 7,484.79