Finding the Third Proportional to 27,783 and 56,538

Step by Step Solution

1. Step 1: Write the proportion equation
   27,783 : 56,538 = 56,538 : x
2. Step 2: Convert to fraction form
   27,783/56,538 = 56,538/x
3. Step 3: Cross multiply
   27,783x = 56,538 × 56,538
4. Step 4: Simplify right side
   27,783x = 3,196,545,444
5. Step 5: Solve for x
   x = 3,196,545,444/27,783
6. Step 6: Final answer
   x = 115,054.01