Finding the Third Proportional to 13,003.50 and 19,596.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003.50 : 19,596.75 = 19,596.75 : x
2. Step 2: Convert to fraction form
   13,003.50/19,596.75 = 19,596.75/x
3. Step 3: Cross multiply
   13,003.50x = 19,596.75 × 19,596.75
4. Step 4: Simplify right side
   13,003.50x = 384,032,610.56
5. Step 5: Solve for x
   x = 384,032,610.56/13,003.50
6. Step 6: Final answer
   x = 29,533.02