Finding the Third Proportional to 9,498 and 13,632

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498 : 13,632 = 13,632 : x
2. Step 2: Convert to fraction form
   9,498/13,632 = 13,632/x
3. Step 3: Cross multiply
   9,498x = 13,632 × 13,632
4. Step 4: Simplify right side
   9,498x = 185,831,424
5. Step 5: Solve for x
   x = 185,831,424/9,498
6. Step 6: Final answer
   x = 19,565.32