Finding the Third Proportional to 11,948 and 17,362

Step by Step Solution

1. Step 1: Write the proportion equation
   11,948 : 17,362 = 17,362 : x
2. Step 2: Convert to fraction form
   11,948/17,362 = 17,362/x
3. Step 3: Cross multiply
   11,948x = 17,362 × 17,362
4. Step 4: Simplify right side
   11,948x = 301,439,044
5. Step 5: Solve for x
   x = 301,439,044/11,948
6. Step 6: Final answer
   x = 25,229.25