Finding the Third Proportional to 2,159 and 2,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159 : 2,820.50 = 2,820.50 : x
2. Step 2: Convert to fraction form
   2,159/2,820.50 = 2,820.50/x
3. Step 3: Cross multiply
   2,159x = 2,820.50 × 2,820.50
4. Step 4: Simplify right side
   2,159x = 7,955,220.25
5. Step 5: Solve for x
   x = 7,955,220.25/2,159
6. Step 6: Final answer
   x = 3,684.68