Finding the Third Proportional to 11,138 and 12,902

Step by Step Solution

1. Step 1: Write the proportion equation
   11,138 : 12,902 = 12,902 : x
2. Step 2: Convert to fraction form
   11,138/12,902 = 12,902/x
3. Step 3: Cross multiply
   11,138x = 12,902 × 12,902
4. Step 4: Simplify right side
   11,138x = 166,461,604
5. Step 5: Solve for x
   x = 166,461,604/11,138
6. Step 6: Final answer
   x = 14,945.38