Finding the Third Proportional to 2,530.50 and 2,706

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.50 : 2,706 = 2,706 : x
2. Step 2: Convert to fraction form
   2,530.50/2,706 = 2,706/x
3. Step 3: Cross multiply
   2,530.50x = 2,706 × 2,706
4. Step 4: Simplify right side
   2,530.50x = 7,322,436
5. Step 5: Solve for x
   x = 7,322,436/2,530.50
6. Step 6: Final answer
   x = 2,893.67