Finding the Third Proportional to 13,077 and 19,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,077 : 19,738.50 = 19,738.50 : x
2. Step 2: Convert to fraction form
   13,077/19,738.50 = 19,738.50/x
3. Step 3: Cross multiply
   13,077x = 19,738.50 × 19,738.50
4. Step 4: Simplify right side
   13,077x = 389,608,382.25
5. Step 5: Solve for x
   x = 389,608,382.25/13,077
6. Step 6: Final answer
   x = 29,793.41