Finding the Third Proportional to 7,832 and 12,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832 : 12,131.50 = 12,131.50 : x
2. Step 2: Convert to fraction form
   7,832/12,131.50 = 12,131.50/x
3. Step 3: Cross multiply
   7,832x = 12,131.50 × 12,131.50
4. Step 4: Simplify right side
   7,832x = 147,173,292.25
5. Step 5: Solve for x
   x = 147,173,292.25/7,832
6. Step 6: Final answer
   x = 18,791.28