Finding the Third Proportional to 12,796 and 27,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,796 : 27,777.50 = 27,777.50 : x
2. Step 2: Convert to fraction form
   12,796/27,777.50 = 27,777.50/x
3. Step 3: Cross multiply
   12,796x = 27,777.50 × 27,777.50
4. Step 4: Simplify right side
   12,796x = 771,589,506.25
5. Step 5: Solve for x
   x = 771,589,506.25/12,796
6. Step 6: Final answer
   x = 60,299.27