Finding the Third Proportional to 24,678 and 35,171.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,678 : 35,171.25 = 35,171.25 : x
2. Step 2: Convert to fraction form
   24,678/35,171.25 = 35,171.25/x
3. Step 3: Cross multiply
   24,678x = 35,171.25 × 35,171.25
4. Step 4: Simplify right side
   24,678x = 1,237,016,826.56
5. Step 5: Solve for x
   x = 1,237,016,826.56/24,678
6. Step 6: Final answer
   x = 50,126.30