Finding the Third Proportional to 6,024 and 14,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,024 : 14,965.50 = 14,965.50 : x
2. Step 2: Convert to fraction form
   6,024/14,965.50 = 14,965.50/x
3. Step 3: Cross multiply
   6,024x = 14,965.50 × 14,965.50
4. Step 4: Simplify right side
   6,024x = 223,966,190.25
5. Step 5: Solve for x
   x = 223,966,190.25/6,024
6. Step 6: Final answer
   x = 37,178.98