Finding the Third Proportional to 2,606 and 5,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 5,642.50 = 5,642.50 : x
2. Step 2: Convert to fraction form
   2,606/5,642.50 = 5,642.50/x
3. Step 3: Cross multiply
   2,606x = 5,642.50 × 5,642.50
4. Step 4: Simplify right side
   2,606x = 31,837,806.25
5. Step 5: Solve for x
   x = 31,837,806.25/2,606
6. Step 6: Final answer
   x = 12,217.12