Finding the Third Proportional to 31,808 and 41,840

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808 : 41,840 = 41,840 : x
2. Step 2: Convert to fraction form
   31,808/41,840 = 41,840/x
3. Step 3: Cross multiply
   31,808x = 41,840 × 41,840
4. Step 4: Simplify right side
   31,808x = 1,750,585,600
5. Step 5: Solve for x
   x = 1,750,585,600/31,808
6. Step 6: Final answer
   x = 55,036.02