Finding the Third Proportional to 30,663 and 41,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,663 : 41,206.50 = 41,206.50 : x
2. Step 2: Convert to fraction form
   30,663/41,206.50 = 41,206.50/x
3. Step 3: Cross multiply
   30,663x = 41,206.50 × 41,206.50
4. Step 4: Simplify right side
   30,663x = 1,697,975,642.25
5. Step 5: Solve for x
   x = 1,697,975,642.25/30,663
6. Step 6: Final answer
   x = 55,375.39