Finding the Third Proportional to 3,678.38 and 7,970.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.38 : 7,970.63 = 7,970.63 : x
2. Step 2: Convert to fraction form
   3,678.38/7,970.63 = 7,970.63/x
3. Step 3: Cross multiply
   3,678.38x = 7,970.63 × 7,970.63
4. Step 4: Simplify right side
   3,678.38x = 63,530,862.89
5. Step 5: Solve for x
   x = 63,530,862.89/3,678.38
6. Step 6: Final answer
   x = 17,271.45