Finding the Third Proportional to 2,316.75 and 3,683.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,316.75 : 3,683.62 = 3,683.62 : x
2. Step 2: Convert to fraction form
   2,316.75/3,683.62 = 3,683.62/x
3. Step 3: Cross multiply
   2,316.75x = 3,683.62 × 3,683.62
4. Step 4: Simplify right side
   2,316.75x = 13,569,066.16
5. Step 5: Solve for x
   x = 13,569,066.16/2,316.75
6. Step 6: Final answer
   x = 5,856.95