Finding the Third Proportional to 2,657 and 4,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657 : 4,111.50 = 4,111.50 : x
2. Step 2: Convert to fraction form
   2,657/4,111.50 = 4,111.50/x
3. Step 3: Cross multiply
   2,657x = 4,111.50 × 4,111.50
4. Step 4: Simplify right side
   2,657x = 16,904,432.25
5. Step 5: Solve for x
   x = 16,904,432.25/2,657
6. Step 6: Final answer
   x = 6,362.23