Finding the Third Proportional to 3,486.38 and 7,629.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,486.38 : 7,629.75 = 7,629.75 : x
2. Step 2: Convert to fraction form
   3,486.38/7,629.75 = 7,629.75/x
3. Step 3: Cross multiply
   3,486.38x = 7,629.75 × 7,629.75
4. Step 4: Simplify right side
   3,486.38x = 58,213,085.06
5. Step 5: Solve for x
   x = 58,213,085.06/3,486.38
6. Step 6: Final answer
   x = 16,697.31