Finding the Third Proportional to 10,416 and 14,160

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 14,160 = 14,160 : x
2. Step 2: Convert to fraction form
   10,416/14,160 = 14,160/x
3. Step 3: Cross multiply
   10,416x = 14,160 × 14,160
4. Step 4: Simplify right side
   10,416x = 200,505,600
5. Step 5: Solve for x
   x = 200,505,600/10,416
6. Step 6: Final answer
   x = 19,249.77