Finding the Third Proportional to 20,142 and 32,355

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 32,355 = 32,355 : x
2. Step 2: Convert to fraction form
   20,142/32,355 = 32,355/x
3. Step 3: Cross multiply
   20,142x = 32,355 × 32,355
4. Step 4: Simplify right side
   20,142x = 1,046,846,025
5. Step 5: Solve for x
   x = 1,046,846,025/20,142
6. Step 6: Final answer
   x = 51,973.29