Finding the Third Proportional to 2,836 and 4,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,836 : 4,654.50 = 4,654.50 : x
2. Step 2: Convert to fraction form
   2,836/4,654.50 = 4,654.50/x
3. Step 3: Cross multiply
   2,836x = 4,654.50 × 4,654.50
4. Step 4: Simplify right side
   2,836x = 21,664,370.25
5. Step 5: Solve for x
   x = 21,664,370.25/2,836
6. Step 6: Final answer
   x = 7,639.06