Finding the Third Proportional to 7,834 and 12,145

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 12,145 = 12,145 : x
2. Step 2: Convert to fraction form
   7,834/12,145 = 12,145/x
3. Step 3: Cross multiply
   7,834x = 12,145 × 12,145
4. Step 4: Simplify right side
   7,834x = 147,501,025
5. Step 5: Solve for x
   x = 147,501,025/7,834
6. Step 6: Final answer
   x = 18,828.32