Finding the Third Proportional to 10,906 and 14,460

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 14,460 = 14,460 : x
2. Step 2: Convert to fraction form
   10,906/14,460 = 14,460/x
3. Step 3: Cross multiply
   10,906x = 14,460 × 14,460
4. Step 4: Simplify right side
   10,906x = 209,091,600
5. Step 5: Solve for x
   x = 209,091,600/10,906
6. Step 6: Final answer
   x = 19,172.16