Finding the Third Proportional to 10,157 and 13,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157 : 13,584 = 13,584 : x
2. Step 2: Convert to fraction form
   10,157/13,584 = 13,584/x
3. Step 3: Cross multiply
   10,157x = 13,584 × 13,584
4. Step 4: Simplify right side
   10,157x = 184,525,056
5. Step 5: Solve for x
   x = 184,525,056/10,157
6. Step 6: Final answer
   x = 18,167.28