Finding the Third Proportional to 9,538 and 13,092

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 13,092 = 13,092 : x
2. Step 2: Convert to fraction form
   9,538/13,092 = 13,092/x
3. Step 3: Cross multiply
   9,538x = 13,092 × 13,092
4. Step 4: Simplify right side
   9,538x = 171,400,464
5. Step 5: Solve for x
   x = 171,400,464/9,538
6. Step 6: Final answer
   x = 17,970.27