Finding the Third Proportional to 10,517 and 22,942

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517 : 22,942 = 22,942 : x
2. Step 2: Convert to fraction form
   10,517/22,942 = 22,942/x
3. Step 3: Cross multiply
   10,517x = 22,942 × 22,942
4. Step 4: Simplify right side
   10,517x = 526,335,364
5. Step 5: Solve for x
   x = 526,335,364/10,517
6. Step 6: Final answer
   x = 50,046.15