Finding the Third Proportional to 7,596 and 15,500

Step by Step Solution

1. Step 1: Write the proportion equation
   7,596 : 15,500 = 15,500 : x
2. Step 2: Convert to fraction form
   7,596/15,500 = 15,500/x
3. Step 3: Cross multiply
   7,596x = 15,500 × 15,500
4. Step 4: Simplify right side
   7,596x = 240,250,000
5. Step 5: Solve for x
   x = 240,250,000/7,596
6. Step 6: Final answer
   x = 31,628.49