Finding the Third Proportional to 1,679.63 and 3,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,679.63 : 3,683.25 = 3,683.25 : x
2. Step 2: Convert to fraction form
   1,679.63/3,683.25 = 3,683.25/x
3. Step 3: Cross multiply
   1,679.63x = 3,683.25 × 3,683.25
4. Step 4: Simplify right side
   1,679.63x = 13,566,330.56
5. Step 5: Solve for x
   x = 13,566,330.56/1,679.63
6. Step 6: Final answer
   x = 8,077.00