Finding the Third Proportional to 8,692 and 14,158

Step by Step Solution

1. Step 1: Write the proportion equation
   8,692 : 14,158 = 14,158 : x
2. Step 2: Convert to fraction form
   8,692/14,158 = 14,158/x
3. Step 3: Cross multiply
   8,692x = 14,158 × 14,158
4. Step 4: Simplify right side
   8,692x = 200,448,964
5. Step 5: Solve for x
   x = 200,448,964/8,692
6. Step 6: Final answer
   x = 23,061.32