Finding the Third Proportional to 12,777.75 and 27,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,777.75 : 27,499.50 = 27,499.50 : x
2. Step 2: Convert to fraction form
   12,777.75/27,499.50 = 27,499.50/x
3. Step 3: Cross multiply
   12,777.75x = 27,499.50 × 27,499.50
4. Step 4: Simplify right side
   12,777.75x = 756,222,500.25
5. Step 5: Solve for x
   x = 756,222,500.25/12,777.75
6. Step 6: Final answer
   x = 59,182.76