Finding the Third Proportional to 9,692 and 15,142

Step by Step Solution

1. Step 1: Write the proportion equation
   9,692 : 15,142 = 15,142 : x
2. Step 2: Convert to fraction form
   9,692/15,142 = 15,142/x
3. Step 3: Cross multiply
   9,692x = 15,142 × 15,142
4. Step 4: Simplify right side
   9,692x = 229,280,164
5. Step 5: Solve for x
   x = 229,280,164/9,692
6. Step 6: Final answer
   x = 23,656.64