Finding the Third Proportional to 10,710 and 12,198

Step by Step Solution

1. Step 1: Write the proportion equation
   10,710 : 12,198 = 12,198 : x
2. Step 2: Convert to fraction form
   10,710/12,198 = 12,198/x
3. Step 3: Cross multiply
   10,710x = 12,198 × 12,198
4. Step 4: Simplify right side
   10,710x = 148,791,204
5. Step 5: Solve for x
   x = 148,791,204/10,710
6. Step 6: Final answer
   x = 13,892.74