Finding the Third Proportional to 13,167 and 31,731

Step by Step Solution

1. Step 1: Write the proportion equation
   13,167 : 31,731 = 31,731 : x
2. Step 2: Convert to fraction form
   13,167/31,731 = 31,731/x
3. Step 3: Cross multiply
   13,167x = 31,731 × 31,731
4. Step 4: Simplify right side
   13,167x = 1,006,856,361
5. Step 5: Solve for x
   x = 1,006,856,361/13,167
6. Step 6: Final answer
   x = 76,468.17