Finding the Third Proportional to 21,186 and 46,061

Step by Step Solution

1. Step 1: Write the proportion equation
   21,186 : 46,061 = 46,061 : x
2. Step 2: Convert to fraction form
   21,186/46,061 = 46,061/x
3. Step 3: Cross multiply
   21,186x = 46,061 × 46,061
4. Step 4: Simplify right side
   21,186x = 2,121,615,721
5. Step 5: Solve for x
   x = 2,121,615,721/21,186
6. Step 6: Final answer
   x = 100,142.34