Finding the Third Proportional to 9,532 and 13,742

Step by Step Solution

1. Step 1: Write the proportion equation
   9,532 : 13,742 = 13,742 : x
2. Step 2: Convert to fraction form
   9,532/13,742 = 13,742/x
3. Step 3: Cross multiply
   9,532x = 13,742 × 13,742
4. Step 4: Simplify right side
   9,532x = 188,842,564
5. Step 5: Solve for x
   x = 188,842,564/9,532
6. Step 6: Final answer
   x = 19,811.43