Finding the Third Proportional to 23,586 and 31,491

Step by Step Solution

1. Step 1: Write the proportion equation
   23,586 : 31,491 = 31,491 : x
2. Step 2: Convert to fraction form
   23,586/31,491 = 31,491/x
3. Step 3: Cross multiply
   23,586x = 31,491 × 31,491
4. Step 4: Simplify right side
   23,586x = 991,683,081
5. Step 5: Solve for x
   x = 991,683,081/23,586
6. Step 6: Final answer
   x = 42,045.41