Finding the Third Proportional to 7,024 and 10,037

Step by Step Solution

1. Step 1: Write the proportion equation
   7,024 : 10,037 = 10,037 : x
2. Step 2: Convert to fraction form
   7,024/10,037 = 10,037/x
3. Step 3: Cross multiply
   7,024x = 10,037 × 10,037
4. Step 4: Simplify right side
   7,024x = 100,741,369
5. Step 5: Solve for x
   x = 100,741,369/7,024
6. Step 6: Final answer
   x = 14,342.45