Finding the Third Proportional to 21,256 and 46,400

Step by Step Solution

1. Step 1: Write the proportion equation
   21,256 : 46,400 = 46,400 : x
2. Step 2: Convert to fraction form
   21,256/46,400 = 46,400/x
3. Step 3: Cross multiply
   21,256x = 46,400 × 46,400
4. Step 4: Simplify right side
   21,256x = 2,152,960,000
5. Step 5: Solve for x
   x = 2,152,960,000/21,256
6. Step 6: Final answer
   x = 101,287.17