Finding the Third Proportional to 10,082 and 23,545

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082 : 23,545 = 23,545 : x
2. Step 2: Convert to fraction form
   10,082/23,545 = 23,545/x
3. Step 3: Cross multiply
   10,082x = 23,545 × 23,545
4. Step 4: Simplify right side
   10,082x = 554,367,025
5. Step 5: Solve for x
   x = 554,367,025/10,082
6. Step 6: Final answer
   x = 54,985.82