Finding the Third Proportional to 21,184 and 46,260

Step by Step Solution

1. Step 1: Write the proportion equation
   21,184 : 46,260 = 46,260 : x
2. Step 2: Convert to fraction form
   21,184/46,260 = 46,260/x
3. Step 3: Cross multiply
   21,184x = 46,260 × 46,260
4. Step 4: Simplify right side
   21,184x = 2,139,987,600
5. Step 5: Solve for x
   x = 2,139,987,600/21,184
6. Step 6: Final answer
   x = 101,019.05