Finding the Third Proportional to 9,672 and 14,158

Step by Step Solution

1. Step 1: Write the proportion equation
   9,672 : 14,158 = 14,158 : x
2. Step 2: Convert to fraction form
   9,672/14,158 = 14,158/x
3. Step 3: Cross multiply
   9,672x = 14,158 × 14,158
4. Step 4: Simplify right side
   9,672x = 200,448,964
5. Step 5: Solve for x
   x = 200,448,964/9,672
6. Step 6: Final answer
   x = 20,724.67