Finding the Third Proportional to 13,177.75 and 19,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,177.75 : 19,745.50 = 19,745.50 : x
2. Step 2: Convert to fraction form
   13,177.75/19,745.50 = 19,745.50/x
3. Step 3: Cross multiply
   13,177.75x = 19,745.50 × 19,745.50
4. Step 4: Simplify right side
   13,177.75x = 389,884,770.25
5. Step 5: Solve for x
   x = 389,884,770.25/13,177.75
6. Step 6: Final answer
   x = 29,586.60