Finding the Third Proportional to 1,208 and 2,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208 : 2,646.50 = 2,646.50 : x
2. Step 2: Convert to fraction form
   1,208/2,646.50 = 2,646.50/x
3. Step 3: Cross multiply
   1,208x = 2,646.50 × 2,646.50
4. Step 4: Simplify right side
   1,208x = 7,003,962.25
5. Step 5: Solve for x
   x = 7,003,962.25/1,208
6. Step 6: Final answer
   x = 5,797.98