Finding the Third Proportional to 17,878 and 40,314

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878 : 40,314 = 40,314 : x
2. Step 2: Convert to fraction form
   17,878/40,314 = 40,314/x
3. Step 3: Cross multiply
   17,878x = 40,314 × 40,314
4. Step 4: Simplify right side
   17,878x = 1,625,218,596
5. Step 5: Solve for x
   x = 1,625,218,596/17,878
6. Step 6: Final answer
   x = 90,906.06