Finding the Third Proportional to 20,226 and 42,069

Step by Step Solution

1. Step 1: Write the proportion equation
   20,226 : 42,069 = 42,069 : x
2. Step 2: Convert to fraction form
   20,226/42,069 = 42,069/x
3. Step 3: Cross multiply
   20,226x = 42,069 × 42,069
4. Step 4: Simplify right side
   20,226x = 1,769,800,761
5. Step 5: Solve for x
   x = 1,769,800,761/20,226
6. Step 6: Final answer
   x = 87,501.27