Finding the Third Proportional to 21,011 and 46,164

Step by Step Solution

1. Step 1: Write the proportion equation
   21,011 : 46,164 = 46,164 : x
2. Step 2: Convert to fraction form
   21,011/46,164 = 46,164/x
3. Step 3: Cross multiply
   21,011x = 46,164 × 46,164
4. Step 4: Simplify right side
   21,011x = 2,131,114,896
5. Step 5: Solve for x
   x = 2,131,114,896/21,011
6. Step 6: Final answer
   x = 101,428.53