Finding the Third Proportional to 3,111.75 and 4,856.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.75 : 4,856.63 = 4,856.63 : x
2. Step 2: Convert to fraction form
   3,111.75/4,856.63 = 4,856.63/x
3. Step 3: Cross multiply
   3,111.75x = 4,856.63 × 4,856.63
4. Step 4: Simplify right side
   3,111.75x = 23,586,806.39
5. Step 5: Solve for x
   x = 23,586,806.39/3,111.75
6. Step 6: Final answer
   x = 7,579.92