Finding the Third Proportional to 30,421 and 41,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,421 : 41,023.50 = 41,023.50 : x
2. Step 2: Convert to fraction form
   30,421/41,023.50 = 41,023.50/x
3. Step 3: Cross multiply
   30,421x = 41,023.50 × 41,023.50
4. Step 4: Simplify right side
   30,421x = 1,682,927,552.25
5. Step 5: Solve for x
   x = 1,682,927,552.25/30,421
6. Step 6: Final answer
   x = 55,321.24