Finding the Third Proportional to 21,766 and 46,814

Step by Step Solution

1. Step 1: Write the proportion equation
   21,766 : 46,814 = 46,814 : x
2. Step 2: Convert to fraction form
   21,766/46,814 = 46,814/x
3. Step 3: Cross multiply
   21,766x = 46,814 × 46,814
4. Step 4: Simplify right side
   21,766x = 2,191,550,596
5. Step 5: Solve for x
   x = 2,191,550,596/21,766
6. Step 6: Final answer
   x = 100,686.88