Finding the Third Proportional to 2,390.50 and 3,692.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,390.50 : 3,692.75 = 3,692.75 : x
2. Step 2: Convert to fraction form
   2,390.50/3,692.75 = 3,692.75/x
3. Step 3: Cross multiply
   2,390.50x = 3,692.75 × 3,692.75
4. Step 4: Simplify right side
   2,390.50x = 13,636,402.56
5. Step 5: Solve for x
   x = 13,636,402.56/2,390.50
6. Step 6: Final answer
   x = 5,704.41