Finding the Third Proportional to 27,066 and 42,462

Step by Step Solution

1. Step 1: Write the proportion equation
   27,066 : 42,462 = 42,462 : x
2. Step 2: Convert to fraction form
   27,066/42,462 = 42,462/x
3. Step 3: Cross multiply
   27,066x = 42,462 × 42,462
4. Step 4: Simplify right side
   27,066x = 1,803,021,444
5. Step 5: Solve for x
   x = 1,803,021,444/27,066
6. Step 6: Final answer
   x = 66,615.73