Finding the Third Proportional to 27,380 and 59,132

Step by Step Solution

1. Step 1: Write the proportion equation
   27,380 : 59,132 = 59,132 : x
2. Step 2: Convert to fraction form
   27,380/59,132 = 59,132/x
3. Step 3: Cross multiply
   27,380x = 59,132 × 59,132
4. Step 4: Simplify right side
   27,380x = 3,496,593,424
5. Step 5: Solve for x
   x = 3,496,593,424/27,380
6. Step 6: Final answer
   x = 127,706.11