Finding the Third Proportional to 7,838.25 and 12,141.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.25 : 12,141.75 = 12,141.75 : x
2. Step 2: Convert to fraction form
   7,838.25/12,141.75 = 12,141.75/x
3. Step 3: Cross multiply
   7,838.25x = 12,141.75 × 12,141.75
4. Step 4: Simplify right side
   7,838.25x = 147,422,093.06
5. Step 5: Solve for x
   x = 147,422,093.06/7,838.25
6. Step 6: Final answer
   x = 18,808.04