Finding the Third Proportional to 20,162 and 32,369

Step by Step Solution

1. Step 1: Write the proportion equation
   20,162 : 32,369 = 32,369 : x
2. Step 2: Convert to fraction form
   20,162/32,369 = 32,369/x
3. Step 3: Cross multiply
   20,162x = 32,369 × 32,369
4. Step 4: Simplify right side
   20,162x = 1,047,752,161
5. Step 5: Solve for x
   x = 1,047,752,161/20,162
6. Step 6: Final answer
   x = 51,966.68