Finding the Third Proportional to 11,653.50 and 18,533.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,653.50 : 18,533.25 = 18,533.25 : x
2. Step 2: Convert to fraction form
   11,653.50/18,533.25 = 18,533.25/x
3. Step 3: Cross multiply
   11,653.50x = 18,533.25 × 18,533.25
4. Step 4: Simplify right side
   11,653.50x = 343,481,355.56
5. Step 5: Solve for x
   x = 343,481,355.56/11,653.50
6. Step 6: Final answer
   x = 29,474.52