Finding the Third Proportional to 31,200 and 71,664

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 71,664 = 71,664 : x
2. Step 2: Convert to fraction form
   31,200/71,664 = 71,664/x
3. Step 3: Cross multiply
   31,200x = 71,664 × 71,664
4. Step 4: Simplify right side
   31,200x = 5,135,728,896
5. Step 5: Solve for x
   x = 5,135,728,896/31,200
6. Step 6: Final answer
   x = 164,606.70