Finding the Third Proportional to 21,082 and 45,262

Step by Step Solution

1. Step 1: Write the proportion equation
   21,082 : 45,262 = 45,262 : x
2. Step 2: Convert to fraction form
   21,082/45,262 = 45,262/x
3. Step 3: Cross multiply
   21,082x = 45,262 × 45,262
4. Step 4: Simplify right side
   21,082x = 2,048,648,644
5. Step 5: Solve for x
   x = 2,048,648,644/21,082
6. Step 6: Final answer
   x = 97,175.25