Finding the Third Proportional to 10,768 and 14,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768 : 14,152 = 14,152 : x
2. Step 2: Convert to fraction form
   10,768/14,152 = 14,152/x
3. Step 3: Cross multiply
   10,768x = 14,152 × 14,152
4. Step 4: Simplify right side
   10,768x = 200,279,104
5. Step 5: Solve for x
   x = 200,279,104/10,768
6. Step 6: Final answer
   x = 18,599.47