Finding the Third Proportional to 7,603.50 and 17,664.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,603.50 : 17,664.75 = 17,664.75 : x
2. Step 2: Convert to fraction form
   7,603.50/17,664.75 = 17,664.75/x
3. Step 3: Cross multiply
   7,603.50x = 17,664.75 × 17,664.75
4. Step 4: Simplify right side
   7,603.50x = 312,043,392.56
5. Step 5: Solve for x
   x = 312,043,392.56/7,603.50
6. Step 6: Final answer
   x = 41,039.44