Finding the Third Proportional to 23,441 and 31,313

Step by Step Solution

1. Step 1: Write the proportion equation
   23,441 : 31,313 = 31,313 : x
2. Step 2: Convert to fraction form
   23,441/31,313 = 31,313/x
3. Step 3: Cross multiply
   23,441x = 31,313 × 31,313
4. Step 4: Simplify right side
   23,441x = 980,503,969
5. Step 5: Solve for x
   x = 980,503,969/23,441
6. Step 6: Final answer
   x = 41,828.59