Finding the Third Proportional to 1,685.34 and 2,692.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.34 : 2,692.46 = 2,692.46 : x
2. Step 2: Convert to fraction form
   1,685.34/2,692.46 = 2,692.46/x
3. Step 3: Cross multiply
   1,685.34x = 2,692.46 × 2,692.46
4. Step 4: Simplify right side
   1,685.34x = 7,249,335.38
5. Step 5: Solve for x
   x = 7,249,335.38/1,685.34
6. Step 6: Final answer
   x = 4,301.41