Finding the Third Proportional to 19,538 and 28,942

Step by Step Solution

1. Step 1: Write the proportion equation
   19,538 : 28,942 = 28,942 : x
2. Step 2: Convert to fraction form
   19,538/28,942 = 28,942/x
3. Step 3: Cross multiply
   19,538x = 28,942 × 28,942
4. Step 4: Simplify right side
   19,538x = 837,639,364
5. Step 5: Solve for x
   x = 837,639,364/19,538
6. Step 6: Final answer
   x = 42,872.32