Finding the Third Proportional to 27,462 and 58,164

Step by Step Solution

1. Step 1: Write the proportion equation
   27,462 : 58,164 = 58,164 : x
2. Step 2: Convert to fraction form
   27,462/58,164 = 58,164/x
3. Step 3: Cross multiply
   27,462x = 58,164 × 58,164
4. Step 4: Simplify right side
   27,462x = 3,383,050,896
5. Step 5: Solve for x
   x = 3,383,050,896/27,462
6. Step 6: Final answer
   x = 123,190.26