Finding the Third Proportional to 1,678.63 and 3,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.63 : 3,627.25 = 3,627.25 : x
2. Step 2: Convert to fraction form
   1,678.63/3,627.25 = 3,627.25/x
3. Step 3: Cross multiply
   1,678.63x = 3,627.25 × 3,627.25
4. Step 4: Simplify right side
   1,678.63x = 13,156,942.56
5. Step 5: Solve for x
   x = 13,156,942.56/1,678.63
6. Step 6: Final answer
   x = 7,837.93