Finding the Third Proportional to 19,680 and 32,016

Step by Step Solution

1. Step 1: Write the proportion equation
   19,680 : 32,016 = 32,016 : x
2. Step 2: Convert to fraction form
   19,680/32,016 = 32,016/x
3. Step 3: Cross multiply
   19,680x = 32,016 × 32,016
4. Step 4: Simplify right side
   19,680x = 1,025,024,256
5. Step 5: Solve for x
   x = 1,025,024,256/19,680
6. Step 6: Final answer
   x = 52,084.57