Finding the Third Proportional to 30,028.50 and 38,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,028.50 : 38,116.50 = 38,116.50 : x
2. Step 2: Convert to fraction form
   30,028.50/38,116.50 = 38,116.50/x
3. Step 3: Cross multiply
   30,028.50x = 38,116.50 × 38,116.50
4. Step 4: Simplify right side
   30,028.50x = 1,452,867,572.25
5. Step 5: Solve for x
   x = 1,452,867,572.25/30,028.50
6. Step 6: Final answer
   x = 48,382.96