Finding the Third Proportional to 10,726 and 16,362

Step by Step Solution

1. Step 1: Write the proportion equation
   10,726 : 16,362 = 16,362 : x
2. Step 2: Convert to fraction form
   10,726/16,362 = 16,362/x
3. Step 3: Cross multiply
   10,726x = 16,362 × 16,362
4. Step 4: Simplify right side
   10,726x = 267,715,044
5. Step 5: Solve for x
   x = 267,715,044/10,726
6. Step 6: Final answer
   x = 24,959.45