Finding the Third Proportional to 11,822 and 16,064

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822 : 16,064 = 16,064 : x
2. Step 2: Convert to fraction form
   11,822/16,064 = 16,064/x
3. Step 3: Cross multiply
   11,822x = 16,064 × 16,064
4. Step 4: Simplify right side
   11,822x = 258,052,096
5. Step 5: Solve for x
   x = 258,052,096/11,822
6. Step 6: Final answer
   x = 21,828.13