Finding the Third Proportional to 12,006 and 18,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,006 : 18,796.50 = 18,796.50 : x
2. Step 2: Convert to fraction form
   12,006/18,796.50 = 18,796.50/x
3. Step 3: Cross multiply
   12,006x = 18,796.50 × 18,796.50
4. Step 4: Simplify right side
   12,006x = 353,308,412.25
5. Step 5: Solve for x
   x = 353,308,412.25/12,006
6. Step 6: Final answer
   x = 29,427.65