Finding the Third Proportional to 10,388 and 18,126

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388 : 18,126 = 18,126 : x
2. Step 2: Convert to fraction form
   10,388/18,126 = 18,126/x
3. Step 3: Cross multiply
   10,388x = 18,126 × 18,126
4. Step 4: Simplify right side
   10,388x = 328,551,876
5. Step 5: Solve for x
   x = 328,551,876/10,388
6. Step 6: Final answer
   x = 31,628.02