Finding the Third Proportional to 21,298 and 46,314

Step by Step Solution

1. Step 1: Write the proportion equation
   21,298 : 46,314 = 46,314 : x
2. Step 2: Convert to fraction form
   21,298/46,314 = 46,314/x
3. Step 3: Cross multiply
   21,298x = 46,314 × 46,314
4. Step 4: Simplify right side
   21,298x = 2,144,986,596
5. Step 5: Solve for x
   x = 2,144,986,596/21,298
6. Step 6: Final answer
   x = 100,713.05