Finding the Third Proportional to 19,200 and 41,664

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 41,664 = 41,664 : x
2. Step 2: Convert to fraction form
   19,200/41,664 = 41,664/x
3. Step 3: Cross multiply
   19,200x = 41,664 × 41,664
4. Step 4: Simplify right side
   19,200x = 1,735,888,896
5. Step 5: Solve for x
   x = 1,735,888,896/19,200
6. Step 6: Final answer
   x = 90,410.88