Finding the Third Proportional to 27,074 and 58,456

Step by Step Solution

1. Step 1: Write the proportion equation
   27,074 : 58,456 = 58,456 : x
2. Step 2: Convert to fraction form
   27,074/58,456 = 58,456/x
3. Step 3: Cross multiply
   27,074x = 58,456 × 58,456
4. Step 4: Simplify right side
   27,074x = 3,417,103,936
5. Step 5: Solve for x
   x = 3,417,103,936/27,074
6. Step 6: Final answer
   x = 126,213.49