Finding the Third Proportional to 1,708.17 and 3,678.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,708.17 : 3,678.47 = 3,678.47 : x
2. Step 2: Convert to fraction form
   1,708.17/3,678.47 = 3,678.47/x
3. Step 3: Cross multiply
   1,708.17x = 3,678.47 × 3,678.47
4. Step 4: Simplify right side
   1,708.17x = 13,531,132.34
5. Step 5: Solve for x
   x = 13,531,132.34/1,708.17
6. Step 6: Final answer
   x = 7,921.41