Finding the Third Proportional to 5,827.50 and 12,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,827.50 : 12,692.25 = 12,692.25 : x
2. Step 2: Convert to fraction form
   5,827.50/12,692.25 = 12,692.25/x
3. Step 3: Cross multiply
   5,827.50x = 12,692.25 × 12,692.25
4. Step 4: Simplify right side
   5,827.50x = 161,093,210.06
5. Step 5: Solve for x
   x = 161,093,210.06/5,827.50
6. Step 6: Final answer
   x = 27,643.62