Finding the Third Proportional to 1,711.75 and 3,683.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,711.75 : 3,683.06 = 3,683.06 : x
2. Step 2: Convert to fraction form
   1,711.75/3,683.06 = 3,683.06/x
3. Step 3: Cross multiply
   1,711.75x = 3,683.06 × 3,683.06
4. Step 4: Simplify right side
   1,711.75x = 13,564,949.38
5. Step 5: Solve for x
   x = 13,564,949.38/1,711.75
6. Step 6: Final answer
   x = 7,924.61