Finding the Third Proportional to 2,511.98 and 3,692.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.98 : 3,692.81 = 3,692.81 : x
2. Step 2: Convert to fraction form
   2,511.98/3,692.81 = 3,692.81/x
3. Step 3: Cross multiply
   2,511.98x = 3,692.81 × 3,692.81
4. Step 4: Simplify right side
   2,511.98x = 13,636,864.16
5. Step 5: Solve for x
   x = 13,636,864.16/2,511.98
6. Step 6: Final answer
   x = 5,428.72