Finding the Third Proportional to 10,047 and 12,762

Step by Step Solution

1. Step 1: Write the proportion equation
   10,047 : 12,762 = 12,762 : x
2. Step 2: Convert to fraction form
   10,047/12,762 = 12,762/x
3. Step 3: Cross multiply
   10,047x = 12,762 × 12,762
4. Step 4: Simplify right side
   10,047x = 162,868,644
5. Step 5: Solve for x
   x = 162,868,644/10,047
6. Step 6: Final answer
   x = 16,210.67