Finding the Third Proportional to 10,003.50 and 15,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.50 : 15,180.75 = 15,180.75 : x
2. Step 2: Convert to fraction form
   10,003.50/15,180.75 = 15,180.75/x
3. Step 3: Cross multiply
   10,003.50x = 15,180.75 × 15,180.75
4. Step 4: Simplify right side
   10,003.50x = 230,455,170.56
5. Step 5: Solve for x
   x = 230,455,170.56/10,003.50
6. Step 6: Final answer
   x = 23,037.45