Finding the Third Proportional to 16,096 and 18,664

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 18,664 = 18,664 : x
2. Step 2: Convert to fraction form
   16,096/18,664 = 18,664/x
3. Step 3: Cross multiply
   16,096x = 18,664 × 18,664
4. Step 4: Simplify right side
   16,096x = 348,344,896
5. Step 5: Solve for x
   x = 348,344,896/16,096
6. Step 6: Final answer
   x = 21,641.71