Finding the Third Proportional to 11,317 and 17,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,317 : 17,622.50 = 17,622.50 : x
2. Step 2: Convert to fraction form
   11,317/17,622.50 = 17,622.50/x
3. Step 3: Cross multiply
   11,317x = 17,622.50 × 17,622.50
4. Step 4: Simplify right side
   11,317x = 310,552,506.25
5. Step 5: Solve for x
   x = 310,552,506.25/11,317
6. Step 6: Final answer
   x = 27,441.24