Finding the Third Proportional to 1,821 and 3,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821 : 3,538.50 = 3,538.50 : x
2. Step 2: Convert to fraction form
   1,821/3,538.50 = 3,538.50/x
3. Step 3: Cross multiply
   1,821x = 3,538.50 × 3,538.50
4. Step 4: Simplify right side
   1,821x = 12,520,982.25
5. Step 5: Solve for x
   x = 12,520,982.25/1,821
6. Step 6: Final answer
   x = 6,875.88