Finding the Third Proportional to 23,648 and 31,557

Step by Step Solution

1. Step 1: Write the proportion equation
   23,648 : 31,557 = 31,557 : x
2. Step 2: Convert to fraction form
   23,648/31,557 = 31,557/x
3. Step 3: Cross multiply
   23,648x = 31,557 × 31,557
4. Step 4: Simplify right side
   23,648x = 995,844,249
5. Step 5: Solve for x
   x = 995,844,249/23,648
6. Step 6: Final answer
   x = 42,111.14