Finding the Third Proportional to 31,120 and 41,738

Step by Step Solution

1. Step 1: Write the proportion equation
   31,120 : 41,738 = 41,738 : x
2. Step 2: Convert to fraction form
   31,120/41,738 = 41,738/x
3. Step 3: Cross multiply
   31,120x = 41,738 × 41,738
4. Step 4: Simplify right side
   31,120x = 1,742,060,644
5. Step 5: Solve for x
   x = 1,742,060,644/31,120
6. Step 6: Final answer
   x = 55,978.81