Finding the Third Proportional to 10,522 and 23,982

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 23,982 = 23,982 : x
2. Step 2: Convert to fraction form
   10,522/23,982 = 23,982/x
3. Step 3: Cross multiply
   10,522x = 23,982 × 23,982
4. Step 4: Simplify right side
   10,522x = 575,136,324
5. Step 5: Solve for x
   x = 575,136,324/10,522
6. Step 6: Final answer
   x = 54,660.36