Finding the Third Proportional to 20,140 and 41,942

Step by Step Solution

1. Step 1: Write the proportion equation
   20,140 : 41,942 = 41,942 : x
2. Step 2: Convert to fraction form
   20,140/41,942 = 41,942/x
3. Step 3: Cross multiply
   20,140x = 41,942 × 41,942
4. Step 4: Simplify right side
   20,140x = 1,759,131,364
5. Step 5: Solve for x
   x = 1,759,131,364/20,140
6. Step 6: Final answer
   x = 87,345.15