Finding the Third Proportional to 6,176 and 10,864

Step by Step Solution

1. Step 1: Write the proportion equation
   6,176 : 10,864 = 10,864 : x
2. Step 2: Convert to fraction form
   6,176/10,864 = 10,864/x
3. Step 3: Cross multiply
   6,176x = 10,864 × 10,864
4. Step 4: Simplify right side
   6,176x = 118,026,496
5. Step 5: Solve for x
   x = 118,026,496/6,176
6. Step 6: Final answer
   x = 19,110.51