Finding the Third Proportional to 9,536 and 20,224

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 20,224 = 20,224 : x
2. Step 2: Convert to fraction form
   9,536/20,224 = 20,224/x
3. Step 3: Cross multiply
   9,536x = 20,224 × 20,224
4. Step 4: Simplify right side
   9,536x = 409,010,176
5. Step 5: Solve for x
   x = 409,010,176/9,536
6. Step 6: Final answer
   x = 42,891.17