Finding the Third Proportional to 2,343.50 and 3,627

Step by Step Solution

1. Step 1: Write the proportion equation
   2,343.50 : 3,627 = 3,627 : x
2. Step 2: Convert to fraction form
   2,343.50/3,627 = 3,627/x
3. Step 3: Cross multiply
   2,343.50x = 3,627 × 3,627
4. Step 4: Simplify right side
   2,343.50x = 13,155,129
5. Step 5: Solve for x
   x = 13,155,129/2,343.50
6. Step 6: Final answer
   x = 5,613.45