Finding the Third Proportional to 9,591 and 20,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,591 : 20,514.25 = 20,514.25 : x
2. Step 2: Convert to fraction form
   9,591/20,514.25 = 20,514.25/x
3. Step 3: Cross multiply
   9,591x = 20,514.25 × 20,514.25
4. Step 4: Simplify right side
   9,591x = 420,834,453.06
5. Step 5: Solve for x
   x = 420,834,453.06/9,591
6. Step 6: Final answer
   x = 43,878.06