Finding the Third Proportional to 21,666 and 46,005

Step by Step Solution

1. Step 1: Write the proportion equation
   21,666 : 46,005 = 46,005 : x
2. Step 2: Convert to fraction form
   21,666/46,005 = 46,005/x
3. Step 3: Cross multiply
   21,666x = 46,005 × 46,005
4. Step 4: Simplify right side
   21,666x = 2,116,460,025
5. Step 5: Solve for x
   x = 2,116,460,025/21,666
6. Step 6: Final answer
   x = 97,685.78