Finding the Third Proportional to 11,460 and 23,982

Step by Step Solution

1. Step 1: Write the proportion equation
   11,460 : 23,982 = 23,982 : x
2. Step 2: Convert to fraction form
   11,460/23,982 = 23,982/x
3. Step 3: Cross multiply
   11,460x = 23,982 × 23,982
4. Step 4: Simplify right side
   11,460x = 575,136,324
5. Step 5: Solve for x
   x = 575,136,324/11,460
6. Step 6: Final answer
   x = 50,186.42