Finding the Third Proportional to 7,830 and 12,114

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830 : 12,114 = 12,114 : x
2. Step 2: Convert to fraction form
   7,830/12,114 = 12,114/x
3. Step 3: Cross multiply
   7,830x = 12,114 × 12,114
4. Step 4: Simplify right side
   7,830x = 146,748,996
5. Step 5: Solve for x
   x = 146,748,996/7,830
6. Step 6: Final answer
   x = 18,741.89