Finding the Third Proportional to 10,138 and 20,942

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 20,942 = 20,942 : x
2. Step 2: Convert to fraction form
   10,138/20,942 = 20,942/x
3. Step 3: Cross multiply
   10,138x = 20,942 × 20,942
4. Step 4: Simplify right side
   10,138x = 438,567,364
5. Step 5: Solve for x
   x = 438,567,364/10,138
6. Step 6: Final answer
   x = 43,259.75