Finding the Third Proportional to 30,669 and 41,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,669 : 41,212.50 = 41,212.50 : x
2. Step 2: Convert to fraction form
   30,669/41,212.50 = 41,212.50/x
3. Step 3: Cross multiply
   30,669x = 41,212.50 × 41,212.50
4. Step 4: Simplify right side
   30,669x = 1,698,470,156.25
5. Step 5: Solve for x
   x = 1,698,470,156.25/30,669
6. Step 6: Final answer
   x = 55,380.68