Finding the Third Proportional to 3,024 and 7,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,024 : 7,189.50 = 7,189.50 : x
2. Step 2: Convert to fraction form
   3,024/7,189.50 = 7,189.50/x
3. Step 3: Cross multiply
   3,024x = 7,189.50 × 7,189.50
4. Step 4: Simplify right side
   3,024x = 51,688,910.25
5. Step 5: Solve for x
   x = 51,688,910.25/3,024
6. Step 6: Final answer
   x = 17,092.89