Finding the Third Proportional to 10,322 and 12,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322 : 12,158 = 12,158 : x
2. Step 2: Convert to fraction form
   10,322/12,158 = 12,158/x
3. Step 3: Cross multiply
   10,322x = 12,158 × 12,158
4. Step 4: Simplify right side
   10,322x = 147,816,964
5. Step 5: Solve for x
   x = 147,816,964/10,322
6. Step 6: Final answer
   x = 14,320.57