Finding the Third Proportional to 7,828 and 12,498

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828 : 12,498 = 12,498 : x
2. Step 2: Convert to fraction form
   7,828/12,498 = 12,498/x
3. Step 3: Cross multiply
   7,828x = 12,498 × 12,498
4. Step 4: Simplify right side
   7,828x = 156,200,004
5. Step 5: Solve for x
   x = 156,200,004/7,828
6. Step 6: Final answer
   x = 19,954.01