Finding the Third Proportional to 10,566 and 16,131

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 16,131 = 16,131 : x
2. Step 2: Convert to fraction form
   10,566/16,131 = 16,131/x
3. Step 3: Cross multiply
   10,566x = 16,131 × 16,131
4. Step 4: Simplify right side
   10,566x = 260,209,161
5. Step 5: Solve for x
   x = 260,209,161/10,566
6. Step 6: Final answer
   x = 24,627.03