Finding the Third Proportional to 5,138 and 10,789

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138 : 10,789 = 10,789 : x
2. Step 2: Convert to fraction form
   5,138/10,789 = 10,789/x
3. Step 3: Cross multiply
   5,138x = 10,789 × 10,789
4. Step 4: Simplify right side
   5,138x = 116,402,521
5. Step 5: Solve for x
   x = 116,402,521/5,138
6. Step 6: Final answer
   x = 22,655.22