Finding the Third Proportional to 27,710 and 57,054

Step by Step Solution

1. Step 1: Write the proportion equation
   27,710 : 57,054 = 57,054 : x
2. Step 2: Convert to fraction form
   27,710/57,054 = 57,054/x
3. Step 3: Cross multiply
   27,710x = 57,054 × 57,054
4. Step 4: Simplify right side
   27,710x = 3,255,158,916
5. Step 5: Solve for x
   x = 3,255,158,916/27,710
6. Step 6: Final answer
   x = 117,472.35