Finding the Third Proportional to 2,829 and 4,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,829 : 4,819.50 = 4,819.50 : x
2. Step 2: Convert to fraction form
   2,829/4,819.50 = 4,819.50/x
3. Step 3: Cross multiply
   2,829x = 4,819.50 × 4,819.50
4. Step 4: Simplify right side
   2,829x = 23,227,580.25
5. Step 5: Solve for x
   x = 23,227,580.25/2,829
6. Step 6: Final answer
   x = 8,210.53