Finding the Third Proportional to 27,747 and 56,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,747 : 56,524.50 = 56,524.50 : x
2. Step 2: Convert to fraction form
   27,747/56,524.50 = 56,524.50/x
3. Step 3: Cross multiply
   27,747x = 56,524.50 × 56,524.50
4. Step 4: Simplify right side
   27,747x = 3,195,019,100.25
5. Step 5: Solve for x
   x = 3,195,019,100.25/27,747
6. Step 6: Final answer
   x = 115,148.27