Finding the Third Proportional to 31,819.50 and 34,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,819.50 : 34,735.50 = 34,735.50 : x
2. Step 2: Convert to fraction form
   31,819.50/34,735.50 = 34,735.50/x
3. Step 3: Cross multiply
   31,819.50x = 34,735.50 × 34,735.50
4. Step 4: Simplify right side
   31,819.50x = 1,206,554,960.25
5. Step 5: Solve for x
   x = 1,206,554,960.25/31,819.50
6. Step 6: Final answer
   x = 37,918.73