Finding the Third Proportional to 3,622.50 and 4,861.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,622.50 : 4,861.69 = 4,861.69 : x
2. Step 2: Convert to fraction form
   3,622.50/4,861.69 = 4,861.69/x
3. Step 3: Cross multiply
   3,622.50x = 4,861.69 × 4,861.69
4. Step 4: Simplify right side
   3,622.50x = 23,636,005.35
5. Step 5: Solve for x
   x = 23,636,005.35/3,622.50
6. Step 6: Final answer
   x = 6,524.78