Finding the Third Proportional to 12,066 and 17,407

Step by Step Solution

1. Step 1: Write the proportion equation
   12,066 : 17,407 = 17,407 : x
2. Step 2: Convert to fraction form
   12,066/17,407 = 17,407/x
3. Step 3: Cross multiply
   12,066x = 17,407 × 17,407
4. Step 4: Simplify right side
   12,066x = 303,003,649
5. Step 5: Solve for x
   x = 303,003,649/12,066
6. Step 6: Final answer
   x = 25,112.19