Finding the Third Proportional to 19,897.50 and 31,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,897.50 : 31,057.50 = 31,057.50 : x
2. Step 2: Convert to fraction form
   19,897.50/31,057.50 = 31,057.50/x
3. Step 3: Cross multiply
   19,897.50x = 31,057.50 × 31,057.50
4. Step 4: Simplify right side
   19,897.50x = 964,568,306.25
5. Step 5: Solve for x
   x = 964,568,306.25/19,897.50
6. Step 6: Final answer
   x = 48,476.86