Finding the Third Proportional to 21,536 and 46,360

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 46,360 = 46,360 : x
2. Step 2: Convert to fraction form
   21,536/46,360 = 46,360/x
3. Step 3: Cross multiply
   21,536x = 46,360 × 46,360
4. Step 4: Simplify right side
   21,536x = 2,149,249,600
5. Step 5: Solve for x
   x = 2,149,249,600/21,536
6. Step 6: Final answer
   x = 99,797.99