Finding the Third Proportional to 17,788 and 41,176

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 41,176 = 41,176 : x
2. Step 2: Convert to fraction form
   17,788/41,176 = 41,176/x
3. Step 3: Cross multiply
   17,788x = 41,176 × 41,176
4. Step 4: Simplify right side
   17,788x = 1,695,462,976
5. Step 5: Solve for x
   x = 1,695,462,976/17,788
6. Step 6: Final answer
   x = 95,314.99