Finding the Third Proportional to 13,674 and 19,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,674 : 19,553.50 = 19,553.50 : x
2. Step 2: Convert to fraction form
   13,674/19,553.50 = 19,553.50/x
3. Step 3: Cross multiply
   13,674x = 19,553.50 × 19,553.50
4. Step 4: Simplify right side
   13,674x = 382,339,362.25
5. Step 5: Solve for x
   x = 382,339,362.25/13,674
6. Step 6: Final answer
   x = 27,961.05