Finding the Third Proportional to 11,460 and 14,922

Step by Step Solution

1. Step 1: Write the proportion equation
   11,460 : 14,922 = 14,922 : x
2. Step 2: Convert to fraction form
   11,460/14,922 = 14,922/x
3. Step 3: Cross multiply
   11,460x = 14,922 × 14,922
4. Step 4: Simplify right side
   11,460x = 222,666,084
5. Step 5: Solve for x
   x = 222,666,084/11,460
6. Step 6: Final answer
   x = 19,429.85