Finding the Third Proportional to 11,500 and 17,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 17,813.50 = 17,813.50 : x
2. Step 2: Convert to fraction form
   11,500/17,813.50 = 17,813.50/x
3. Step 3: Cross multiply
   11,500x = 17,813.50 × 17,813.50
4. Step 4: Simplify right side
   11,500x = 317,320,782.25
5. Step 5: Solve for x
   x = 317,320,782.25/11,500
6. Step 6: Final answer
   x = 27,593.11