Finding the Third Proportional to 27,788 and 59,544

Step by Step Solution

1. Step 1: Write the proportion equation
   27,788 : 59,544 = 59,544 : x
2. Step 2: Convert to fraction form
   27,788/59,544 = 59,544/x
3. Step 3: Cross multiply
   27,788x = 59,544 × 59,544
4. Step 4: Simplify right side
   27,788x = 3,545,487,936
5. Step 5: Solve for x
   x = 3,545,487,936/27,788
6. Step 6: Final answer
   x = 127,590.61