Finding the Third Proportional to 7,698.38 and 16,598.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,698.38 : 16,598.67 = 16,598.67 : x
2. Step 2: Convert to fraction form
   7,698.38/16,598.67 = 16,598.67/x
3. Step 3: Cross multiply
   7,698.38x = 16,598.67 × 16,598.67
4. Step 4: Simplify right side
   7,698.38x = 275,515,908.01
5. Step 5: Solve for x
   x = 275,515,908.01/7,698.38
6. Step 6: Final answer
   x = 35,788.84