Finding the Third Proportional to 10,416 and 17,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 17,064 = 17,064 : x
2. Step 2: Convert to fraction form
   10,416/17,064 = 17,064/x
3. Step 3: Cross multiply
   10,416x = 17,064 × 17,064
4. Step 4: Simplify right side
   10,416x = 291,180,096
5. Step 5: Solve for x
   x = 291,180,096/10,416
6. Step 6: Final answer
   x = 27,955.08