Finding the Third Proportional to 20,738 and 32,164

Step by Step Solution

1. Step 1: Write the proportion equation
   20,738 : 32,164 = 32,164 : x
2. Step 2: Convert to fraction form
   20,738/32,164 = 32,164/x
3. Step 3: Cross multiply
   20,738x = 32,164 × 32,164
4. Step 4: Simplify right side
   20,738x = 1,034,522,896
5. Step 5: Solve for x
   x = 1,034,522,896/20,738
6. Step 6: Final answer
   x = 49,885.37