Finding the Third Proportional to 10,566 and 12,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 12,054 = 12,054 : x
2. Step 2: Convert to fraction form
   10,566/12,054 = 12,054/x
3. Step 3: Cross multiply
   10,566x = 12,054 × 12,054
4. Step 4: Simplify right side
   10,566x = 145,298,916
5. Step 5: Solve for x
   x = 145,298,916/10,566
6. Step 6: Final answer
   x = 13,751.55