Finding the Third Proportional to 2,002.13 and 4,676.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.13 : 4,676.25 = 4,676.25 : x
2. Step 2: Convert to fraction form
   2,002.13/4,676.25 = 4,676.25/x
3. Step 3: Cross multiply
   2,002.13x = 4,676.25 × 4,676.25
4. Step 4: Simplify right side
   2,002.13x = 21,867,314.06
5. Step 5: Solve for x
   x = 21,867,314.06/2,002.13
6. Step 6: Final answer
   x = 10,922.05