Finding the Third Proportional to 10,823.88 and 16,192.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.88 : 16,192.38 = 16,192.38 : x
2. Step 2: Convert to fraction form
   10,823.88/16,192.38 = 16,192.38/x
3. Step 3: Cross multiply
   10,823.88x = 16,192.38 × 16,192.38
4. Step 4: Simplify right side
   10,823.88x = 262,193,008.14
5. Step 5: Solve for x
   x = 262,193,008.14/10,823.88
6. Step 6: Final answer
   x = 24,223.58