Finding the Third Proportional to 20,114 and 42,430

Step by Step Solution

1. Step 1: Write the proportion equation
   20,114 : 42,430 = 42,430 : x
2. Step 2: Convert to fraction form
   20,114/42,430 = 42,430/x
3. Step 3: Cross multiply
   20,114x = 42,430 × 42,430
4. Step 4: Simplify right side
   20,114x = 1,800,304,900
5. Step 5: Solve for x
   x = 1,800,304,900/20,114
6. Step 6: Final answer
   x = 89,505.07