Finding the Third Proportional to 67,776 and 101,664

Step by Step Solution

1. Step 1: Write the proportion equation
   67,776 : 101,664 = 101,664 : x
2. Step 2: Convert to fraction form
   67,776/101,664 = 101,664/x
3. Step 3: Cross multiply
   67,776x = 101,664 × 101,664
4. Step 4: Simplify right side
   67,776x = 10,335,568,896
5. Step 5: Solve for x
   x = 10,335,568,896/67,776
6. Step 6: Final answer
   x = 152,496