Finding the Third Proportional to 2,005.22 and 4,685.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.22 : 4,685.04 = 4,685.04 : x
2. Step 2: Convert to fraction form
   2,005.22/4,685.04 = 4,685.04/x
3. Step 3: Cross multiply
   2,005.22x = 4,685.04 × 4,685.04
4. Step 4: Simplify right side
   2,005.22x = 21,949,591.02
5. Step 5: Solve for x
   x = 21,949,591.02/2,005.22
6. Step 6: Final answer
   x = 10,946.23