Finding the Third Proportional to 2,635 and 5,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635 : 5,966.50 = 5,966.50 : x
2. Step 2: Convert to fraction form
   2,635/5,966.50 = 5,966.50/x
3. Step 3: Cross multiply
   2,635x = 5,966.50 × 5,966.50
4. Step 4: Simplify right side
   2,635x = 35,599,122.25
5. Step 5: Solve for x
   x = 35,599,122.25/2,635
6. Step 6: Final answer
   x = 13,510.10