Finding the Third Proportional to 2,692 and 5,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,692 : 5,916.50 = 5,916.50 : x
2. Step 2: Convert to fraction form
   2,692/5,916.50 = 5,916.50/x
3. Step 3: Cross multiply
   2,692x = 5,916.50 × 5,916.50
4. Step 4: Simplify right side
   2,692x = 35,004,972.25
5. Step 5: Solve for x
   x = 35,004,972.25/2,692
6. Step 6: Final answer
   x = 13,003.33