Finding the Third Proportional to 20,306 and 32,727

Step by Step Solution

1. Step 1: Write the proportion equation
   20,306 : 32,727 = 32,727 : x
2. Step 2: Convert to fraction form
   20,306/32,727 = 32,727/x
3. Step 3: Cross multiply
   20,306x = 32,727 × 32,727
4. Step 4: Simplify right side
   20,306x = 1,071,056,529
5. Step 5: Solve for x
   x = 1,071,056,529/20,306
6. Step 6: Final answer
   x = 52,745.82