Finding the Third Proportional to 1,649.86 and 3,581.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.86 : 3,581.64 = 3,581.64 : x
2. Step 2: Convert to fraction form
   1,649.86/3,581.64 = 3,581.64/x
3. Step 3: Cross multiply
   1,649.86x = 3,581.64 × 3,581.64
4. Step 4: Simplify right side
   1,649.86x = 12,828,142.57
5. Step 5: Solve for x
   x = 12,828,142.57/1,649.86
6. Step 6: Final answer
   x = 7,775.29