Finding the Third Proportional to 21,902 and 46,716

Step by Step Solution

1. Step 1: Write the proportion equation
   21,902 : 46,716 = 46,716 : x
2. Step 2: Convert to fraction form
   21,902/46,716 = 46,716/x
3. Step 3: Cross multiply
   21,902x = 46,716 × 46,716
4. Step 4: Simplify right side
   21,902x = 2,182,384,656
5. Step 5: Solve for x
   x = 2,182,384,656/21,902
6. Step 6: Final answer
   x = 99,643.17