Finding the Third Proportional to 1,683.28 and 3,470.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.28 : 3,470.34 = 3,470.34 : x
2. Step 2: Convert to fraction form
   1,683.28/3,470.34 = 3,470.34/x
3. Step 3: Cross multiply
   1,683.28x = 3,470.34 × 3,470.34
4. Step 4: Simplify right side
   1,683.28x = 12,043,285.74
5. Step 5: Solve for x
   x = 12,043,285.74/1,683.28
6. Step 6: Final answer
   x = 7,154.65