Finding the Third Proportional to 7,830 and 12,132

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,132 = 12,132 : x
2. Step 2: Convert to fraction form
   7,830/12,132 = 12,132/x
3. Step 3: Cross multiply
   7,830x = 12,132 × 12,132
4. Step 4: Simplify right side
   7,830x = 147,185,424
5. Step 5: Solve for x
   x = 147,185,424/7,830
6. Step 6: Final answer
   x = 18,797.63