Finding the Third Proportional to 31,785 and 41,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,785 : 41,797.50 = 41,797.50 : x
2. Step 2: Convert to fraction form
   31,785/41,797.50 = 41,797.50/x
3. Step 3: Cross multiply
   31,785x = 41,797.50 × 41,797.50
4. Step 4: Simplify right side
   31,785x = 1,747,031,006.25
5. Step 5: Solve for x
   x = 1,747,031,006.25/31,785
6. Step 6: Final answer
   x = 54,964.01