Finding the Third Proportional to 21,446 and 46,470

Step by Step Solution

1. Step 1: Write the proportion equation
   21,446 : 46,470 = 46,470 : x
2. Step 2: Convert to fraction form
   21,446/46,470 = 46,470/x
3. Step 3: Cross multiply
   21,446x = 46,470 × 46,470
4. Step 4: Simplify right side
   21,446x = 2,159,460,900
5. Step 5: Solve for x
   x = 2,159,460,900/21,446
6. Step 6: Final answer
   x = 100,692.95