Finding the Third Proportional to 10,206 and 24,031.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 24,031.69 = 24,031.69 : x
2. Step 2: Convert to fraction form
   10,206/24,031.69 = 24,031.69/x
3. Step 3: Cross multiply
   10,206x = 24,031.69 × 24,031.69
4. Step 4: Simplify right side
   10,206x = 577,522,004.10
5. Step 5: Solve for x
   x = 577,522,004.10/10,206
6. Step 6: Final answer
   x = 56,586.52