Finding the Third Proportional to 10,823.63 and 16,581.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.63 : 16,581.38 = 16,581.38 : x
2. Step 2: Convert to fraction form
   10,823.63/16,581.38 = 16,581.38/x
3. Step 3: Cross multiply
   10,823.63x = 16,581.38 × 16,581.38
4. Step 4: Simplify right side
   10,823.63x = 274,941,996.89
5. Step 5: Solve for x
   x = 274,941,996.89/10,823.63
6. Step 6: Final answer
   x = 25,402.03