Finding the Third Proportional to 1,223.50 and 2,690

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.50 : 2,690 = 2,690 : x
2. Step 2: Convert to fraction form
   1,223.50/2,690 = 2,690/x
3. Step 3: Cross multiply
   1,223.50x = 2,690 × 2,690
4. Step 4: Simplify right side
   1,223.50x = 7,236,100
5. Step 5: Solve for x
   x = 7,236,100/1,223.50
6. Step 6: Final answer
   x = 5,914.26