Finding the Third Proportional to 2,323 and 4,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323 : 4,137.50 = 4,137.50 : x
2. Step 2: Convert to fraction form
   2,323/4,137.50 = 4,137.50/x
3. Step 3: Cross multiply
   2,323x = 4,137.50 × 4,137.50
4. Step 4: Simplify right side
   2,323x = 17,118,906.25
5. Step 5: Solve for x
   x = 17,118,906.25/2,323
6. Step 6: Final answer
   x = 7,369.31