Finding the Third Proportional to 7,697.38 and 16,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,697.38 : 16,596.50 = 16,596.50 : x
2. Step 2: Convert to fraction form
   7,697.38/16,596.50 = 16,596.50/x
3. Step 3: Cross multiply
   7,697.38x = 16,596.50 × 16,596.50
4. Step 4: Simplify right side
   7,697.38x = 275,443,812.25
5. Step 5: Solve for x
   x = 275,443,812.25/7,697.38
6. Step 6: Final answer
   x = 35,784.12