Finding the Third Proportional to 9,536 and 20,160

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 20,160 = 20,160 : x
2. Step 2: Convert to fraction form
   9,536/20,160 = 20,160/x
3. Step 3: Cross multiply
   9,536x = 20,160 × 20,160
4. Step 4: Simplify right side
   9,536x = 406,425,600
5. Step 5: Solve for x
   x = 406,425,600/9,536
6. Step 6: Final answer
   x = 42,620.13