Finding the Third Proportional to 20,976 and 32,196

Step by Step Solution

1. Step 1: Write the proportion equation
   20,976 : 32,196 = 32,196 : x
2. Step 2: Convert to fraction form
   20,976/32,196 = 32,196/x
3. Step 3: Cross multiply
   20,976x = 32,196 × 32,196
4. Step 4: Simplify right side
   20,976x = 1,036,582,416
5. Step 5: Solve for x
   x = 1,036,582,416/20,976
6. Step 6: Final answer
   x = 49,417.54