Finding the Third Proportional to 12,771 and 27,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771 : 27,077.50 = 27,077.50 : x
2. Step 2: Convert to fraction form
   12,771/27,077.50 = 27,077.50/x
3. Step 3: Cross multiply
   12,771x = 27,077.50 × 27,077.50
4. Step 4: Simplify right side
   12,771x = 733,191,006.25
5. Step 5: Solve for x
   x = 733,191,006.25/12,771
6. Step 6: Final answer
   x = 57,410.62