Finding the Third Proportional to 5,027 and 10,864

Step by Step Solution

1. Step 1: Write the proportion equation
   5,027 : 10,864 = 10,864 : x
2. Step 2: Convert to fraction form
   5,027/10,864 = 10,864/x
3. Step 3: Cross multiply
   5,027x = 10,864 × 10,864
4. Step 4: Simplify right side
   5,027x = 118,026,496
5. Step 5: Solve for x
   x = 118,026,496/5,027
6. Step 6: Final answer
   x = 23,478.52