Finding the Third Proportional to 3,686.06 and 5,641.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.06 : 5,641.31 = 5,641.31 : x
2. Step 2: Convert to fraction form
   3,686.06/5,641.31 = 5,641.31/x
3. Step 3: Cross multiply
   3,686.06x = 5,641.31 × 5,641.31
4. Step 4: Simplify right side
   3,686.06x = 31,824,406.72
5. Step 5: Solve for x
   x = 31,824,406.72/3,686.06
6. Step 6: Final answer
   x = 8,633.71