Finding the Third Proportional to 1,688.34 and 3,693.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.34 : 3,693.09 = 3,693.09 : x
2. Step 2: Convert to fraction form
   1,688.34/3,693.09 = 3,693.09/x
3. Step 3: Cross multiply
   1,688.34x = 3,693.09 × 3,693.09
4. Step 4: Simplify right side
   1,688.34x = 13,638,941.45
5. Step 5: Solve for x
   x = 13,638,941.45/1,688.34
6. Step 6: Final answer
   x = 8,078.30