Finding the Third Proportional to 7,146 and 12,906

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146 : 12,906 = 12,906 : x
2. Step 2: Convert to fraction form
   7,146/12,906 = 12,906/x
3. Step 3: Cross multiply
   7,146x = 12,906 × 12,906
4. Step 4: Simplify right side
   7,146x = 166,564,836
5. Step 5: Solve for x
   x = 166,564,836/7,146
6. Step 6: Final answer
   x = 23,308.82