Finding the Third Proportional to 2,620 and 5,702

Step by Step Solution

1. Step 1: Write the proportion equation
   2,620 : 5,702 = 5,702 : x
2. Step 2: Convert to fraction form
   2,620/5,702 = 5,702/x
3. Step 3: Cross multiply
   2,620x = 5,702 × 5,702
4. Step 4: Simplify right side
   2,620x = 32,512,804
5. Step 5: Solve for x
   x = 32,512,804/2,620
6. Step 6: Final answer
   x = 12,409.47