Finding the Third Proportional to 27,878.50 and 57,116

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878.50 : 57,116 = 57,116 : x
2. Step 2: Convert to fraction form
   27,878.50/57,116 = 57,116/x
3. Step 3: Cross multiply
   27,878.50x = 57,116 × 57,116
4. Step 4: Simplify right side
   27,878.50x = 3,262,237,456
5. Step 5: Solve for x
   x = 3,262,237,456/27,878.50
6. Step 6: Final answer
   x = 117,016.25