Finding the Third Proportional to 9,546.75 and 17,736.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,546.75 : 17,736.75 = 17,736.75 : x
2. Step 2: Convert to fraction form
   9,546.75/17,736.75 = 17,736.75/x
3. Step 3: Cross multiply
   9,546.75x = 17,736.75 × 17,736.75
4. Step 4: Simplify right side
   9,546.75x = 314,592,300.56
5. Step 5: Solve for x
   x = 314,592,300.56/9,546.75
6. Step 6: Final answer
   x = 32,952.82