Finding the Third Proportional to 2,806.50 and 6,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,806.50 : 6,152.50 = 6,152.50 : x
2. Step 2: Convert to fraction form
   2,806.50/6,152.50 = 6,152.50/x
3. Step 3: Cross multiply
   2,806.50x = 6,152.50 × 6,152.50
4. Step 4: Simplify right side
   2,806.50x = 37,853,256.25
5. Step 5: Solve for x
   x = 37,853,256.25/2,806.50
6. Step 6: Final answer
   x = 13,487.71