Finding the Third Proportional to 11,945.25 and 18,533.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,945.25 : 18,533.75 = 18,533.75 : x
2. Step 2: Convert to fraction form
   11,945.25/18,533.75 = 18,533.75/x
3. Step 3: Cross multiply
   11,945.25x = 18,533.75 × 18,533.75
4. Step 4: Simplify right side
   11,945.25x = 343,499,889.06
5. Step 5: Solve for x
   x = 343,499,889.06/11,945.25
6. Step 6: Final answer
   x = 28,756.19