Finding the Third Proportional to 21,196 and 46,081

Step by Step Solution

1. Step 1: Write the proportion equation
   21,196 : 46,081 = 46,081 : x
2. Step 2: Convert to fraction form
   21,196/46,081 = 46,081/x
3. Step 3: Cross multiply
   21,196x = 46,081 × 46,081
4. Step 4: Simplify right side
   21,196x = 2,123,458,561
5. Step 5: Solve for x
   x = 2,123,458,561/21,196
6. Step 6: Final answer
   x = 100,182.04