Finding the Third Proportional to 683.81 and 1,468.31

Step by Step Solution

1. Step 1: Write the proportion equation
   683.81 : 1,468.31 = 1,468.31 : x
2. Step 2: Convert to fraction form
   683.81/1,468.31 = 1,468.31/x
3. Step 3: Cross multiply
   683.81x = 1,468.31 × 1,468.31
4. Step 4: Simplify right side
   683.81x = 2,155,941.60
5. Step 5: Solve for x
   x = 2,155,941.60/683.81
6. Step 6: Final answer
   x = 3,152.83