Finding the Third Proportional to 9,416 and 12,156

Step by Step Solution

1. Step 1: Write the proportion equation
   9,416 : 12,156 = 12,156 : x
2. Step 2: Convert to fraction form
   9,416/12,156 = 12,156/x
3. Step 3: Cross multiply
   9,416x = 12,156 × 12,156
4. Step 4: Simplify right side
   9,416x = 147,768,336
5. Step 5: Solve for x
   x = 147,768,336/9,416
6. Step 6: Final answer
   x = 15,693.32