Finding the Third Proportional to 7,838.81 and 12,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.81 : 12,142.69 = 12,142.69 : x
2. Step 2: Convert to fraction form
   7,838.81/12,142.69 = 12,142.69/x
3. Step 3: Cross multiply
   7,838.81x = 12,142.69 × 12,142.69
4. Step 4: Simplify right side
   7,838.81x = 147,444,859.72
5. Step 5: Solve for x
   x = 147,444,859.72/7,838.81
6. Step 6: Final answer
   x = 18,809.59