Finding the Third Proportional to 21,456 and 46,058

Step by Step Solution

1. Step 1: Write the proportion equation
   21,456 : 46,058 = 46,058 : x
2. Step 2: Convert to fraction form
   21,456/46,058 = 46,058/x
3. Step 3: Cross multiply
   21,456x = 46,058 × 46,058
4. Step 4: Simplify right side
   21,456x = 2,121,339,364
5. Step 5: Solve for x
   x = 2,121,339,364/21,456
6. Step 6: Final answer
   x = 98,869.28