Finding the Third Proportional to 7,830 and 12,141

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,141 = 12,141 : x
2. Step 2: Convert to fraction form
   7,830/12,141 = 12,141/x
3. Step 3: Cross multiply
   7,830x = 12,141 × 12,141
4. Step 4: Simplify right side
   7,830x = 147,403,881
5. Step 5: Solve for x
   x = 147,403,881/7,830
6. Step 6: Final answer
   x = 18,825.53