Finding the Third Proportional to 7,854 and 12,146

Step by Step Solution

1. Step 1: Write the proportion equation
   7,854 : 12,146 = 12,146 : x
2. Step 2: Convert to fraction form
   7,854/12,146 = 12,146/x
3. Step 3: Cross multiply
   7,854x = 12,146 × 12,146
4. Step 4: Simplify right side
   7,854x = 147,525,316
5. Step 5: Solve for x
   x = 147,525,316/7,854
6. Step 6: Final answer
   x = 18,783.46