Finding the Third Proportional to 21,466 and 46,505

Step by Step Solution

1. Step 1: Write the proportion equation
   21,466 : 46,505 = 46,505 : x
2. Step 2: Convert to fraction form
   21,466/46,505 = 46,505/x
3. Step 3: Cross multiply
   21,466x = 46,505 × 46,505
4. Step 4: Simplify right side
   21,466x = 2,162,715,025
5. Step 5: Solve for x
   x = 2,162,715,025/21,466
6. Step 6: Final answer
   x = 100,750.72