Finding the Third Proportional to 10,003.50 and 13,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.50 : 13,623.75 = 13,623.75 : x
2. Step 2: Convert to fraction form
   10,003.50/13,623.75 = 13,623.75/x
3. Step 3: Cross multiply
   10,003.50x = 13,623.75 × 13,623.75
4. Step 4: Simplify right side
   10,003.50x = 185,606,564.06
5. Step 5: Solve for x
   x = 185,606,564.06/10,003.50
6. Step 6: Final answer
   x = 18,554.16