Finding the Third Proportional to 1,684.31 and 3,692.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.31 : 3,692.63 = 3,692.63 : x
2. Step 2: Convert to fraction form
   1,684.31/3,692.63 = 3,692.63/x
3. Step 3: Cross multiply
   1,684.31x = 3,692.63 × 3,692.63
4. Step 4: Simplify right side
   1,684.31x = 13,635,479.39
5. Step 5: Solve for x
   x = 13,635,479.39/1,684.31
6. Step 6: Final answer
   x = 8,095.58