Finding the Third Proportional to 19,200 and 32,064

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 32,064 = 32,064 : x
2. Step 2: Convert to fraction form
   19,200/32,064 = 32,064/x
3. Step 3: Cross multiply
   19,200x = 32,064 × 32,064
4. Step 4: Simplify right side
   19,200x = 1,028,100,096
5. Step 5: Solve for x
   x = 1,028,100,096/19,200
6. Step 6: Final answer
   x = 53,546.88