Finding the Third Proportional to 12,777 and 17,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,777 : 17,170.50 = 17,170.50 : x
2. Step 2: Convert to fraction form
   12,777/17,170.50 = 17,170.50/x
3. Step 3: Cross multiply
   12,777x = 17,170.50 × 17,170.50
4. Step 4: Simplify right side
   12,777x = 294,826,070.25
5. Step 5: Solve for x
   x = 294,826,070.25/12,777
6. Step 6: Final answer
   x = 23,074.75