Finding the Third Proportional to 2,106 and 2,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 2,770.50 = 2,770.50 : x
2. Step 2: Convert to fraction form
   2,106/2,770.50 = 2,770.50/x
3. Step 3: Cross multiply
   2,106x = 2,770.50 × 2,770.50
4. Step 4: Simplify right side
   2,106x = 7,675,670.25
5. Step 5: Solve for x
   x = 7,675,670.25/2,106
6. Step 6: Final answer
   x = 3,644.67