Finding the Third Proportional to 11,692.27 and 17,830.27

Step by Step Solution

1. Step 1: Write the proportion equation
   11,692.27 : 17,830.27 = 17,830.27 : x
2. Step 2: Convert to fraction form
   11,692.27/17,830.27 = 17,830.27/x
3. Step 3: Cross multiply
   11,692.27x = 17,830.27 × 17,830.27
4. Step 4: Simplify right side
   11,692.27x = 317,918,372.26
5. Step 5: Solve for x
   x = 317,918,372.26/11,692.27
6. Step 6: Final answer
   x = 27,190.48