Finding the Third Proportional to 41,774 and 90,010

Step by Step Solution

1. Step 1: Write the proportion equation
   41,774 : 90,010 = 90,010 : x
2. Step 2: Convert to fraction form
   41,774/90,010 = 90,010/x
3. Step 3: Cross multiply
   41,774x = 90,010 × 90,010
4. Step 4: Simplify right side
   41,774x = 8,101,800,100
5. Step 5: Solve for x
   x = 8,101,800,100/41,774
6. Step 6: Final answer
   x = 193,943.60