Finding the Third Proportional to 27,789 and 56,610

Step by Step Solution

1. Step 1: Write the proportion equation
   27,789 : 56,610 = 56,610 : x
2. Step 2: Convert to fraction form
   27,789/56,610 = 56,610/x
3. Step 3: Cross multiply
   27,789x = 56,610 × 56,610
4. Step 4: Simplify right side
   27,789x = 3,204,692,100
5. Step 5: Solve for x
   x = 3,204,692,100/27,789
6. Step 6: Final answer
   x = 115,322.33