Finding the Third Proportional to 12,024 and 18,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,024 : 18,663.50 = 18,663.50 : x
2. Step 2: Convert to fraction form
   12,024/18,663.50 = 18,663.50/x
3. Step 3: Cross multiply
   12,024x = 18,663.50 × 18,663.50
4. Step 4: Simplify right side
   12,024x = 348,326,232.25
5. Step 5: Solve for x
   x = 348,326,232.25/12,024
6. Step 6: Final answer
   x = 28,969.25