Finding the Third Proportional to 11,556 and 21,471.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 21,471.75 = 21,471.75 : x
2. Step 2: Convert to fraction form
   11,556/21,471.75 = 21,471.75/x
3. Step 3: Cross multiply
   11,556x = 21,471.75 × 21,471.75
4. Step 4: Simplify right side
   11,556x = 461,036,048.06
5. Step 5: Solve for x
   x = 461,036,048.06/11,556
6. Step 6: Final answer
   x = 39,895.82