Finding the Third Proportional to 24,778 and 35,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,778 : 35,321.50 = 35,321.50 : x
2. Step 2: Convert to fraction form
   24,778/35,321.50 = 35,321.50/x
3. Step 3: Cross multiply
   24,778x = 35,321.50 × 35,321.50
4. Step 4: Simplify right side
   24,778x = 1,247,608,362.25
5. Step 5: Solve for x
   x = 1,247,608,362.25/24,778
6. Step 6: Final answer
   x = 50,351.46