Finding the Third Proportional to 11,364.50 and 17,697.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,364.50 : 17,697.75 = 17,697.75 : x
2. Step 2: Convert to fraction form
   11,364.50/17,697.75 = 17,697.75/x
3. Step 3: Cross multiply
   11,364.50x = 17,697.75 × 17,697.75
4. Step 4: Simplify right side
   11,364.50x = 313,210,355.06
5. Step 5: Solve for x
   x = 313,210,355.06/11,364.50
6. Step 6: Final answer
   x = 27,560.42