Finding the Third Proportional to 27,380 and 59,674

Step by Step Solution

1. Step 1: Write the proportion equation
   27,380 : 59,674 = 59,674 : x
2. Step 2: Convert to fraction form
   27,380/59,674 = 59,674/x
3. Step 3: Cross multiply
   27,380x = 59,674 × 59,674
4. Step 4: Simplify right side
   27,380x = 3,560,986,276
5. Step 5: Solve for x
   x = 3,560,986,276/27,380
6. Step 6: Final answer
   x = 130,057.94