Finding the Third Proportional to 27,826 and 56,932

Step by Step Solution

1. Step 1: Write the proportion equation
   27,826 : 56,932 = 56,932 : x
2. Step 2: Convert to fraction form
   27,826/56,932 = 56,932/x
3. Step 3: Cross multiply
   27,826x = 56,932 × 56,932
4. Step 4: Simplify right side
   27,826x = 3,241,252,624
5. Step 5: Solve for x
   x = 3,241,252,624/27,826
6. Step 6: Final answer
   x = 116,482.88