Finding the Third Proportional to 41,898 and 95,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,898 : 95,722.50 = 95,722.50 : x
2. Step 2: Convert to fraction form
   41,898/95,722.50 = 95,722.50/x
3. Step 3: Cross multiply
   41,898x = 95,722.50 × 95,722.50
4. Step 4: Simplify right side
   41,898x = 9,162,797,006.25
5. Step 5: Solve for x
   x = 9,162,797,006.25/41,898
6. Step 6: Final answer
   x = 218,692.94