Finding the Third Proportional to 12,234 and 19,983

Step by Step Solution

1. Step 1: Write the proportion equation
   12,234 : 19,983 = 19,983 : x
2. Step 2: Convert to fraction form
   12,234/19,983 = 19,983/x
3. Step 3: Cross multiply
   12,234x = 19,983 × 19,983
4. Step 4: Simplify right side
   12,234x = 399,320,289
5. Step 5: Solve for x
   x = 399,320,289/12,234
6. Step 6: Final answer
   x = 32,640.21