Finding the Third Proportional to 30,399 and 38,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,399 : 38,428.50 = 38,428.50 : x
2. Step 2: Convert to fraction form
   30,399/38,428.50 = 38,428.50/x
3. Step 3: Cross multiply
   30,399x = 38,428.50 × 38,428.50
4. Step 4: Simplify right side
   30,399x = 1,476,749,612.25
5. Step 5: Solve for x
   x = 1,476,749,612.25/30,399
6. Step 6: Final answer
   x = 48,578.89