Finding the Third Proportional to 1,634.55 and 3,585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.55 : 3,585.20 = 3,585.20 : x
2. Step 2: Convert to fraction form
   1,634.55/3,585.20 = 3,585.20/x
3. Step 3: Cross multiply
   1,634.55x = 3,585.20 × 3,585.20
4. Step 4: Simplify right side
   1,634.55x = 12,853,653.44
5. Step 5: Solve for x
   x = 12,853,653.44/1,634.55
6. Step 6: Final answer
   x = 7,863.70