Finding the Third Proportional to 30,997 and 39,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,997 : 39,799.50 = 39,799.50 : x
2. Step 2: Convert to fraction form
   30,997/39,799.50 = 39,799.50/x
3. Step 3: Cross multiply
   30,997x = 39,799.50 × 39,799.50
4. Step 4: Simplify right side
   30,997x = 1,584,000,200.25
5. Step 5: Solve for x
   x = 1,584,000,200.25/30,997
6. Step 6: Final answer
   x = 51,101.73