Finding the Third Proportional to 10,282.50 and 13,605.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.50 : 13,605.75 = 13,605.75 : x
2. Step 2: Convert to fraction form
   10,282.50/13,605.75 = 13,605.75/x
3. Step 3: Cross multiply
   10,282.50x = 13,605.75 × 13,605.75
4. Step 4: Simplify right side
   10,282.50x = 185,116,433.06
5. Step 5: Solve for x
   x = 185,116,433.06/10,282.50
6. Step 6: Final answer
   x = 18,003.06