Finding the Third Proportional to 10,823.34 and 16,266.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.34 : 16,266.52 = 16,266.52 : x
2. Step 2: Convert to fraction form
   10,823.34/16,266.52 = 16,266.52/x
3. Step 3: Cross multiply
   10,823.34x = 16,266.52 × 16,266.52
4. Step 4: Simplify right side
   10,823.34x = 264,599,530.58
5. Step 5: Solve for x
   x = 264,599,530.58/10,823.34
6. Step 6: Final answer
   x = 24,447.12