Finding the Third Proportional to 11,620 and 16,942

Step by Step Solution

1. Step 1: Write the proportion equation
   11,620 : 16,942 = 16,942 : x
2. Step 2: Convert to fraction form
   11,620/16,942 = 16,942/x
3. Step 3: Cross multiply
   11,620x = 16,942 × 16,942
4. Step 4: Simplify right side
   11,620x = 287,031,364
5. Step 5: Solve for x
   x = 287,031,364/11,620
6. Step 6: Final answer
   x = 24,701.49