Finding the Third Proportional to 2,317.50 and 3,673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,317.50 : 3,673.69 = 3,673.69 : x
2. Step 2: Convert to fraction form
   2,317.50/3,673.69 = 3,673.69/x
3. Step 3: Cross multiply
   2,317.50x = 3,673.69 × 3,673.69
4. Step 4: Simplify right side
   2,317.50x = 13,495,979.85
5. Step 5: Solve for x
   x = 13,495,979.85/2,317.50
6. Step 6: Final answer
   x = 5,823.51