Finding the Third Proportional to 11,621 and 17,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,621 : 17,540.50 = 17,540.50 : x
2. Step 2: Convert to fraction form
   11,621/17,540.50 = 17,540.50/x
3. Step 3: Cross multiply
   11,621x = 17,540.50 × 17,540.50
4. Step 4: Simplify right side
   11,621x = 307,669,140.25
5. Step 5: Solve for x
   x = 307,669,140.25/11,621
6. Step 6: Final answer
   x = 26,475.27