Finding the Third Proportional to 2,546.44 and 3,686.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.44 : 3,686.06 = 3,686.06 : x
2. Step 2: Convert to fraction form
   2,546.44/3,686.06 = 3,686.06/x
3. Step 3: Cross multiply
   2,546.44x = 3,686.06 × 3,686.06
4. Step 4: Simplify right side
   2,546.44x = 13,587,056.75
5. Step 5: Solve for x
   x = 13,587,056.75/2,546.44
6. Step 6: Final answer
   x = 5,335.71