Finding the Third Proportional to 31,248 and 41,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,248 : 41,742 = 41,742 : x
2. Step 2: Convert to fraction form
   31,248/41,742 = 41,742/x
3. Step 3: Cross multiply
   31,248x = 41,742 × 41,742
4. Step 4: Simplify right side
   31,248x = 1,742,394,564
5. Step 5: Solve for x
   x = 1,742,394,564/31,248
6. Step 6: Final answer
   x = 55,760.19