Finding the Third Proportional to 10,596.38 and 16,031.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.38 : 16,031.25 = 16,031.25 : x
2. Step 2: Convert to fraction form
   10,596.38/16,031.25 = 16,031.25/x
3. Step 3: Cross multiply
   10,596.38x = 16,031.25 × 16,031.25
4. Step 4: Simplify right side
   10,596.38x = 257,000,976.56
5. Step 5: Solve for x
   x = 257,000,976.56/10,596.38
6. Step 6: Final answer
   x = 24,253.67