Finding the Third Proportional to 13,005 and 19,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005 : 19,636.50 = 19,636.50 : x
2. Step 2: Convert to fraction form
   13,005/19,636.50 = 19,636.50/x
3. Step 3: Cross multiply
   13,005x = 19,636.50 × 19,636.50
4. Step 4: Simplify right side
   13,005x = 385,592,132.25
5. Step 5: Solve for x
   x = 385,592,132.25/13,005
6. Step 6: Final answer
   x = 29,649.53