Finding the Third Proportional to 9,536 and 13,584

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 13,584 = 13,584 : x
2. Step 2: Convert to fraction form
   9,536/13,584 = 13,584/x
3. Step 3: Cross multiply
   9,536x = 13,584 × 13,584
4. Step 4: Simplify right side
   9,536x = 184,525,056
5. Step 5: Solve for x
   x = 184,525,056/9,536
6. Step 6: Final answer
   x = 19,350.36