Finding the Third Proportional to 20,164 and 42,920

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 42,920 = 42,920 : x
2. Step 2: Convert to fraction form
   20,164/42,920 = 42,920/x
3. Step 3: Cross multiply
   20,164x = 42,920 × 42,920
4. Step 4: Simplify right side
   20,164x = 1,842,126,400
5. Step 5: Solve for x
   x = 1,842,126,400/20,164
6. Step 6: Final answer
   x = 91,357.19