Finding the Third Proportional to 21,123 and 46,377

Step by Step Solution

1. Step 1: Write the proportion equation
   21,123 : 46,377 = 46,377 : x
2. Step 2: Convert to fraction form
   21,123/46,377 = 46,377/x
3. Step 3: Cross multiply
   21,123x = 46,377 × 46,377
4. Step 4: Simplify right side
   21,123x = 2,150,826,129
5. Step 5: Solve for x
   x = 2,150,826,129/21,123
6. Step 6: Final answer
   x = 101,823.89