Finding the Third Proportional to 9,460 and 14,966

Step by Step Solution

1. Step 1: Write the proportion equation
   9,460 : 14,966 = 14,966 : x
2. Step 2: Convert to fraction form
   9,460/14,966 = 14,966/x
3. Step 3: Cross multiply
   9,460x = 14,966 × 14,966
4. Step 4: Simplify right side
   9,460x = 223,981,156
5. Step 5: Solve for x
   x = 223,981,156/9,460
6. Step 6: Final answer
   x = 23,676.65