Finding the Third Proportional to 31,707 and 41,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,707 : 41,701.50 = 41,701.50 : x
2. Step 2: Convert to fraction form
   31,707/41,701.50 = 41,701.50/x
3. Step 3: Cross multiply
   31,707x = 41,701.50 × 41,701.50
4. Step 4: Simplify right side
   31,707x = 1,739,015,102.25
5. Step 5: Solve for x
   x = 1,739,015,102.25/31,707
6. Step 6: Final answer
   x = 54,846.41