Finding the Third Proportional to 72,288 and 101,664

Step by Step Solution

1. Step 1: Write the proportion equation
   72,288 : 101,664 = 101,664 : x
2. Step 2: Convert to fraction form
   72,288/101,664 = 101,664/x
3. Step 3: Cross multiply
   72,288x = 101,664 × 101,664
4. Step 4: Simplify right side
   72,288x = 10,335,568,896
5. Step 5: Solve for x
   x = 10,335,568,896/72,288
6. Step 6: Final answer
   x = 142,977.66