Finding the Third Proportional to 2,097 and 5,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097 : 5,692.50 = 5,692.50 : x
2. Step 2: Convert to fraction form
   2,097/5,692.50 = 5,692.50/x
3. Step 3: Cross multiply
   2,097x = 5,692.50 × 5,692.50
4. Step 4: Simplify right side
   2,097x = 32,404,556.25
5. Step 5: Solve for x
   x = 32,404,556.25/2,097
6. Step 6: Final answer
   x = 15,452.82