Finding the Third Proportional to 10,003.50 and 18,579.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.50 : 18,579.38 = 18,579.38 : x
2. Step 2: Convert to fraction form
   10,003.50/18,579.38 = 18,579.38/x
3. Step 3: Cross multiply
   10,003.50x = 18,579.38 × 18,579.38
4. Step 4: Simplify right side
   10,003.50x = 345,193,175.39
5. Step 5: Solve for x
   x = 345,193,175.39/10,003.50
6. Step 6: Final answer
   x = 34,507.24