Finding the Third Proportional to 13,200 and 16,032

Step by Step Solution

1. Step 1: Write the proportion equation
   13,200 : 16,032 = 16,032 : x
2. Step 2: Convert to fraction form
   13,200/16,032 = 16,032/x
3. Step 3: Cross multiply
   13,200x = 16,032 × 16,032
4. Step 4: Simplify right side
   13,200x = 257,025,024
5. Step 5: Solve for x
   x = 257,025,024/13,200
6. Step 6: Final answer
   x = 19,471.59