Finding the Third Proportional to 17,789 and 41,178

Step by Step Solution

1. Step 1: Write the proportion equation
   17,789 : 41,178 = 41,178 : x
2. Step 2: Convert to fraction form
   17,789/41,178 = 41,178/x
3. Step 3: Cross multiply
   17,789x = 41,178 × 41,178
4. Step 4: Simplify right side
   17,789x = 1,695,627,684
5. Step 5: Solve for x
   x = 1,695,627,684/17,789
6. Step 6: Final answer
   x = 95,318.89