Finding the Third Proportional to 2,865.38 and 5,910.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,865.38 : 5,910.47 = 5,910.47 : x
2. Step 2: Convert to fraction form
   2,865.38/5,910.47 = 5,910.47/x
3. Step 3: Cross multiply
   2,865.38x = 5,910.47 × 5,910.47
4. Step 4: Simplify right side
   2,865.38x = 34,933,640.84
5. Step 5: Solve for x
   x = 34,933,640.84/2,865.38
6. Step 6: Final answer
   x = 12,191.65