Finding the Third Proportional to 2,528 and 3,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,528 : 3,678.50 = 3,678.50 : x
2. Step 2: Convert to fraction form
   2,528/3,678.50 = 3,678.50/x
3. Step 3: Cross multiply
   2,528x = 3,678.50 × 3,678.50
4. Step 4: Simplify right side
   2,528x = 13,531,362.25
5. Step 5: Solve for x
   x = 13,531,362.25/2,528
6. Step 6: Final answer
   x = 5,352.60