Finding the Third Proportional to 21,166 and 46,483

Step by Step Solution

1. Step 1: Write the proportion equation
   21,166 : 46,483 = 46,483 : x
2. Step 2: Convert to fraction form
   21,166/46,483 = 46,483/x
3. Step 3: Cross multiply
   21,166x = 46,483 × 46,483
4. Step 4: Simplify right side
   21,166x = 2,160,669,289
5. Step 5: Solve for x
   x = 2,160,669,289/21,166
6. Step 6: Final answer
   x = 102,082.08