Finding the Third Proportional to 11,535.75 and 17,664.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,535.75 : 17,664.75 = 17,664.75 : x
2. Step 2: Convert to fraction form
   11,535.75/17,664.75 = 17,664.75/x
3. Step 3: Cross multiply
   11,535.75x = 17,664.75 × 17,664.75
4. Step 4: Simplify right side
   11,535.75x = 312,043,392.56
5. Step 5: Solve for x
   x = 312,043,392.56/11,535.75
6. Step 6: Final answer
   x = 27,050.12