Finding the Third Proportional to 11,556 and 16,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 16,921.50 = 16,921.50 : x
2. Step 2: Convert to fraction form
   11,556/16,921.50 = 16,921.50/x
3. Step 3: Cross multiply
   11,556x = 16,921.50 × 16,921.50
4. Step 4: Simplify right side
   11,556x = 286,337,162.25
5. Step 5: Solve for x
   x = 286,337,162.25/11,556
6. Step 6: Final answer
   x = 24,778.22