Finding the Third Proportional to 20,640 and 32,032

Step by Step Solution

1. Step 1: Write the proportion equation
   20,640 : 32,032 = 32,032 : x
2. Step 2: Convert to fraction form
   20,640/32,032 = 32,032/x
3. Step 3: Cross multiply
   20,640x = 32,032 × 32,032
4. Step 4: Simplify right side
   20,640x = 1,026,049,024
5. Step 5: Solve for x
   x = 1,026,049,024/20,640
6. Step 6: Final answer
   x = 49,711.68