Finding the Third Proportional to 11,530.50 and 17,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,530.50 : 17,401.75 = 17,401.75 : x
2. Step 2: Convert to fraction form
   11,530.50/17,401.75 = 17,401.75/x
3. Step 3: Cross multiply
   11,530.50x = 17,401.75 × 17,401.75
4. Step 4: Simplify right side
   11,530.50x = 302,820,903.06
5. Step 5: Solve for x
   x = 302,820,903.06/11,530.50
6. Step 6: Final answer
   x = 26,262.60