Finding the Third Proportional to 30,754.50 and 39,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,754.50 : 39,298.50 = 39,298.50 : x
2. Step 2: Convert to fraction form
   30,754.50/39,298.50 = 39,298.50/x
3. Step 3: Cross multiply
   30,754.50x = 39,298.50 × 39,298.50
4. Step 4: Simplify right side
   30,754.50x = 1,544,372,102.25
5. Step 5: Solve for x
   x = 1,544,372,102.25/30,754.50
6. Step 6: Final answer
   x = 50,216.13