Finding the Third Proportional to 1,645.23 and 3,664.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.23 : 3,664.22 = 3,664.22 : x
2. Step 2: Convert to fraction form
   1,645.23/3,664.22 = 3,664.22/x
3. Step 3: Cross multiply
   1,645.23x = 3,664.22 × 3,664.22
4. Step 4: Simplify right side
   1,645.23x = 13,426,520.52
5. Step 5: Solve for x
   x = 13,426,520.52/1,645.23
6. Step 6: Final answer
   x = 8,160.86