Finding the Third Proportional to 3,699.42 and 7,638.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.42 : 7,638.05 = 7,638.05 : x
2. Step 2: Convert to fraction form
   3,699.42/7,638.05 = 7,638.05/x
3. Step 3: Cross multiply
   3,699.42x = 7,638.05 × 7,638.05
4. Step 4: Simplify right side
   3,699.42x = 58,339,760.06
5. Step 5: Solve for x
   x = 58,339,760.06/3,699.42
6. Step 6: Final answer
   x = 15,769.97