Finding the Third Proportional to 10,082 and 21,460

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082 : 21,460 = 21,460 : x
2. Step 2: Convert to fraction form
   10,082/21,460 = 21,460/x
3. Step 3: Cross multiply
   10,082x = 21,460 × 21,460
4. Step 4: Simplify right side
   10,082x = 460,531,600
5. Step 5: Solve for x
   x = 460,531,600/10,082
6. Step 6: Final answer
   x = 45,678.60