Finding the Third Proportional to 7,828 and 12,942

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828 : 12,942 = 12,942 : x
2. Step 2: Convert to fraction form
   7,828/12,942 = 12,942/x
3. Step 3: Cross multiply
   7,828x = 12,942 × 12,942
4. Step 4: Simplify right side
   7,828x = 167,495,364
5. Step 5: Solve for x
   x = 167,495,364/7,828
6. Step 6: Final answer
   x = 21,396.96