Finding the Third Proportional to 2,138.06 and 5,776.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.06 : 5,776.31 = 5,776.31 : x
2. Step 2: Convert to fraction form
   2,138.06/5,776.31 = 5,776.31/x
3. Step 3: Cross multiply
   2,138.06x = 5,776.31 × 5,776.31
4. Step 4: Simplify right side
   2,138.06x = 33,365,786.10
5. Step 5: Solve for x
   x = 33,365,786.10/2,138.06
6. Step 6: Final answer
   x = 15,605.62