Finding the Third Proportional to 5,768 and 12,111

Step by Step Solution

1. Step 1: Write the proportion equation
   5,768 : 12,111 = 12,111 : x
2. Step 2: Convert to fraction form
   5,768/12,111 = 12,111/x
3. Step 3: Cross multiply
   5,768x = 12,111 × 12,111
4. Step 4: Simplify right side
   5,768x = 146,676,321
5. Step 5: Solve for x
   x = 146,676,321/5,768
6. Step 6: Final answer
   x = 25,429.32