Finding the Third Proportional to 20,632 and 32,180

Step by Step Solution

1. Step 1: Write the proportion equation
   20,632 : 32,180 = 32,180 : x
2. Step 2: Convert to fraction form
   20,632/32,180 = 32,180/x
3. Step 3: Cross multiply
   20,632x = 32,180 × 32,180
4. Step 4: Simplify right side
   20,632x = 1,035,552,400
5. Step 5: Solve for x
   x = 1,035,552,400/20,632
6. Step 6: Final answer
   x = 50,191.57