Finding the Third Proportional to 31,713 and 41,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,713 : 41,710.50 = 41,710.50 : x
2. Step 2: Convert to fraction form
   31,713/41,710.50 = 41,710.50/x
3. Step 3: Cross multiply
   31,713x = 41,710.50 × 41,710.50
4. Step 4: Simplify right side
   31,713x = 1,739,765,810.25
5. Step 5: Solve for x
   x = 1,739,765,810.25/31,713
6. Step 6: Final answer
   x = 54,859.70