Finding the Third Proportional to 20,098 and 42,356

Step by Step Solution

1. Step 1: Write the proportion equation
   20,098 : 42,356 = 42,356 : x
2. Step 2: Convert to fraction form
   20,098/42,356 = 42,356/x
3. Step 3: Cross multiply
   20,098x = 42,356 × 42,356
4. Step 4: Simplify right side
   20,098x = 1,794,030,736
5. Step 5: Solve for x
   x = 1,794,030,736/20,098
6. Step 6: Final answer
   x = 89,264.14