Finding the Third Proportional to 6,138 and 13,066

Step by Step Solution

1. Step 1: Write the proportion equation
   6,138 : 13,066 = 13,066 : x
2. Step 2: Convert to fraction form
   6,138/13,066 = 13,066/x
3. Step 3: Cross multiply
   6,138x = 13,066 × 13,066
4. Step 4: Simplify right side
   6,138x = 170,720,356
5. Step 5: Solve for x
   x = 170,720,356/6,138
6. Step 6: Final answer
   x = 27,813.68