Finding the Third Proportional to 20,442 and 42,942

Step by Step Solution

1. Step 1: Write the proportion equation
   20,442 : 42,942 = 42,942 : x
2. Step 2: Convert to fraction form
   20,442/42,942 = 42,942/x
3. Step 3: Cross multiply
   20,442x = 42,942 × 42,942
4. Step 4: Simplify right side
   20,442x = 1,844,015,364
5. Step 5: Solve for x
   x = 1,844,015,364/20,442
6. Step 6: Final answer
   x = 90,207.19