Finding the Third Proportional to 1,711.50 and 3,678.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,711.50 : 3,678.56 = 3,678.56 : x
2. Step 2: Convert to fraction form
   1,711.50/3,678.56 = 3,678.56/x
3. Step 3: Cross multiply
   1,711.50x = 3,678.56 × 3,678.56
4. Step 4: Simplify right side
   1,711.50x = 13,531,822.07
5. Step 5: Solve for x
   x = 13,531,822.07/1,711.50
6. Step 6: Final answer
   x = 7,906.41