Finding the Third Proportional to 7,597.25 and 16,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,597.25 : 16,409.50 = 16,409.50 : x
2. Step 2: Convert to fraction form
   7,597.25/16,409.50 = 16,409.50/x
3. Step 3: Cross multiply
   7,597.25x = 16,409.50 × 16,409.50
4. Step 4: Simplify right side
   7,597.25x = 269,271,690.25
5. Step 5: Solve for x
   x = 269,271,690.25/7,597.25
6. Step 6: Final answer
   x = 35,443.31