Finding the Third Proportional to 10,508 and 13,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,508 : 13,632 = 13,632 : x
2. Step 2: Convert to fraction form
   10,508/13,632 = 13,632/x
3. Step 3: Cross multiply
   10,508x = 13,632 × 13,632
4. Step 4: Simplify right side
   10,508x = 185,831,424
5. Step 5: Solve for x
   x = 185,831,424/10,508
6. Step 6: Final answer
   x = 17,684.76