Finding the Third Proportional to 7,597.50 and 17,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,597.50 : 17,674.50 = 17,674.50 : x
2. Step 2: Convert to fraction form
   7,597.50/17,674.50 = 17,674.50/x
3. Step 3: Cross multiply
   7,597.50x = 17,674.50 × 17,674.50
4. Step 4: Simplify right side
   7,597.50x = 312,387,950.25
5. Step 5: Solve for x
   x = 312,387,950.25/7,597.50
6. Step 6: Final answer
   x = 41,117.20