Finding the Third Proportional to 10,536 and 14,308

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 14,308 = 14,308 : x
2. Step 2: Convert to fraction form
   10,536/14,308 = 14,308/x
3. Step 3: Cross multiply
   10,536x = 14,308 × 14,308
4. Step 4: Simplify right side
   10,536x = 204,718,864
5. Step 5: Solve for x
   x = 204,718,864/10,536
6. Step 6: Final answer
   x = 19,430.42