Finding the Third Proportional to 2,154 and 2,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154 : 2,824.50 = 2,824.50 : x
2. Step 2: Convert to fraction form
   2,154/2,824.50 = 2,824.50/x
3. Step 3: Cross multiply
   2,154x = 2,824.50 × 2,824.50
4. Step 4: Simplify right side
   2,154x = 7,977,800.25
5. Step 5: Solve for x
   x = 7,977,800.25/2,154
6. Step 6: Final answer
   x = 3,703.71