Finding the Third Proportional to 9,536 and 13,748

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 13,748 = 13,748 : x
2. Step 2: Convert to fraction form
   9,536/13,748 = 13,748/x
3. Step 3: Cross multiply
   9,536x = 13,748 × 13,748
4. Step 4: Simplify right side
   9,536x = 189,007,504
5. Step 5: Solve for x
   x = 189,007,504/9,536
6. Step 6: Final answer
   x = 19,820.42