Finding the Third Proportional to 13,006 and 19,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,006 : 19,600.50 = 19,600.50 : x
2. Step 2: Convert to fraction form
   13,006/19,600.50 = 19,600.50/x
3. Step 3: Cross multiply
   13,006x = 19,600.50 × 19,600.50
4. Step 4: Simplify right side
   13,006x = 384,179,600.25
5. Step 5: Solve for x
   x = 384,179,600.25/13,006
6. Step 6: Final answer
   x = 29,538.64