Finding the Third Proportional to 1,642.22 and 3,648.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.22 : 3,648.84 = 3,648.84 : x
2. Step 2: Convert to fraction form
   1,642.22/3,648.84 = 3,648.84/x
3. Step 3: Cross multiply
   1,642.22x = 3,648.84 × 3,648.84
4. Step 4: Simplify right side
   1,642.22x = 13,314,060.71
5. Step 5: Solve for x
   x = 13,314,060.71/1,642.22
6. Step 6: Final answer
   x = 8,107.36