Finding the Third Proportional to 27,456 and 59,186

Step by Step Solution

1. Step 1: Write the proportion equation
   27,456 : 59,186 = 59,186 : x
2. Step 2: Convert to fraction form
   27,456/59,186 = 59,186/x
3. Step 3: Cross multiply
   27,456x = 59,186 × 59,186
4. Step 4: Simplify right side
   27,456x = 3,502,982,596
5. Step 5: Solve for x
   x = 3,502,982,596/27,456
6. Step 6: Final answer
   x = 127,585.32