Finding the Third Proportional to 27,386 and 59,144

Step by Step Solution

1. Step 1: Write the proportion equation
   27,386 : 59,144 = 59,144 : x
2. Step 2: Convert to fraction form
   27,386/59,144 = 59,144/x
3. Step 3: Cross multiply
   27,386x = 59,144 × 59,144
4. Step 4: Simplify right side
   27,386x = 3,498,012,736
5. Step 5: Solve for x
   x = 3,498,012,736/27,386
6. Step 6: Final answer
   x = 127,729.96