Finding the Third Proportional to 2,647.50 and 4,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.50 : 4,042.50 = 4,042.50 : x
2. Step 2: Convert to fraction form
   2,647.50/4,042.50 = 4,042.50/x
3. Step 3: Cross multiply
   2,647.50x = 4,042.50 × 4,042.50
4. Step 4: Simplify right side
   2,647.50x = 16,341,806.25
5. Step 5: Solve for x
   x = 16,341,806.25/2,647.50
6. Step 6: Final answer
   x = 6,172.54