Finding the Third Proportional to 24,678.50 and 35,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,678.50 : 35,171.75 = 35,171.75 : x
2. Step 2: Convert to fraction form
   24,678.50/35,171.75 = 35,171.75/x
3. Step 3: Cross multiply
   24,678.50x = 35,171.75 × 35,171.75
4. Step 4: Simplify right side
   24,678.50x = 1,237,051,998.06
5. Step 5: Solve for x
   x = 1,237,051,998.06/24,678.50
6. Step 6: Final answer
   x = 50,126.71