Finding the Third Proportional to 23,406 and 31,533

Step by Step Solution

1. Step 1: Write the proportion equation
   23,406 : 31,533 = 31,533 : x
2. Step 2: Convert to fraction form
   23,406/31,533 = 31,533/x
3. Step 3: Cross multiply
   23,406x = 31,533 × 31,533
4. Step 4: Simplify right side
   23,406x = 994,330,089
5. Step 5: Solve for x
   x = 994,330,089/23,406
6. Step 6: Final answer
   x = 42,481.85