Finding the Third Proportional to 17,878 and 41,566

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878 : 41,566 = 41,566 : x
2. Step 2: Convert to fraction form
   17,878/41,566 = 41,566/x
3. Step 3: Cross multiply
   17,878x = 41,566 × 41,566
4. Step 4: Simplify right side
   17,878x = 1,727,732,356
5. Step 5: Solve for x
   x = 1,727,732,356/17,878
6. Step 6: Final answer
   x = 96,640.14