Finding the Third Proportional to 30,078 and 40,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,078 : 40,171.50 = 40,171.50 : x
2. Step 2: Convert to fraction form
   30,078/40,171.50 = 40,171.50/x
3. Step 3: Cross multiply
   30,078x = 40,171.50 × 40,171.50
4. Step 4: Simplify right side
   30,078x = 1,613,749,412.25
5. Step 5: Solve for x
   x = 1,613,749,412.25/30,078
6. Step 6: Final answer
   x = 53,652.15