Finding the Third Proportional to 2,585.06 and 3,152.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.06 : 3,152.06 = 3,152.06 : x
2. Step 2: Convert to fraction form
   2,585.06/3,152.06 = 3,152.06/x
3. Step 3: Cross multiply
   2,585.06x = 3,152.06 × 3,152.06
4. Step 4: Simplify right side
   2,585.06x = 9,935,498.00
5. Step 5: Solve for x
   x = 9,935,498.00/2,585.06
6. Step 6: Final answer
   x = 3,843.43