Finding the Third Proportional to 17,774 and 41,147

Step by Step Solution

1. Step 1: Write the proportion equation
   17,774 : 41,147 = 41,147 : x
2. Step 2: Convert to fraction form
   17,774/41,147 = 41,147/x
3. Step 3: Cross multiply
   17,774x = 41,147 × 41,147
4. Step 4: Simplify right side
   17,774x = 1,693,075,609
5. Step 5: Solve for x
   x = 1,693,075,609/17,774
6. Step 6: Final answer
   x = 95,255.74