Finding the Third Proportional to 7,983 and 12,253.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,983 : 12,253.50 = 12,253.50 : x
2. Step 2: Convert to fraction form
   7,983/12,253.50 = 12,253.50/x
3. Step 3: Cross multiply
   7,983x = 12,253.50 × 12,253.50
4. Step 4: Simplify right side
   7,983x = 150,148,262.25
5. Step 5: Solve for x
   x = 150,148,262.25/7,983
6. Step 6: Final answer
   x = 18,808.50