Finding the Third Proportional to 20,394 and 42,098

Step by Step Solution

1. Step 1: Write the proportion equation
   20,394 : 42,098 = 42,098 : x
2. Step 2: Convert to fraction form
   20,394/42,098 = 42,098/x
3. Step 3: Cross multiply
   20,394x = 42,098 × 42,098
4. Step 4: Simplify right side
   20,394x = 1,772,241,604
5. Step 5: Solve for x
   x = 1,772,241,604/20,394
6. Step 6: Final answer
   x = 86,900.15