Finding the Third Proportional to 21,519 and 46,746

Step by Step Solution

1. Step 1: Write the proportion equation
   21,519 : 46,746 = 46,746 : x
2. Step 2: Convert to fraction form
   21,519/46,746 = 46,746/x
3. Step 3: Cross multiply
   21,519x = 46,746 × 46,746
4. Step 4: Simplify right side
   21,519x = 2,185,188,516
5. Step 5: Solve for x
   x = 2,185,188,516/21,519
6. Step 6: Final answer
   x = 101,546.94