Finding the Third Proportional to 2,166.38 and 4,712.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.38 : 4,712.25 = 4,712.25 : x
2. Step 2: Convert to fraction form
   2,166.38/4,712.25 = 4,712.25/x
3. Step 3: Cross multiply
   2,166.38x = 4,712.25 × 4,712.25
4. Step 4: Simplify right side
   2,166.38x = 22,205,300.06
5. Step 5: Solve for x
   x = 22,205,300.06/2,166.38
6. Step 6: Final answer
   x = 10,249.98