Finding the Third Proportional to 27,945 and 59,118

Step by Step Solution

1. Step 1: Write the proportion equation
   27,945 : 59,118 = 59,118 : x
2. Step 2: Convert to fraction form
   27,945/59,118 = 59,118/x
3. Step 3: Cross multiply
   27,945x = 59,118 × 59,118
4. Step 4: Simplify right side
   27,945x = 3,494,937,924
5. Step 5: Solve for x
   x = 3,494,937,924/27,945
6. Step 6: Final answer
   x = 125,064.87