Finding the Third Proportional to 2,968.50 and 4,557.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,968.50 : 4,557.75 = 4,557.75 : x
2. Step 2: Convert to fraction form
   2,968.50/4,557.75 = 4,557.75/x
3. Step 3: Cross multiply
   2,968.50x = 4,557.75 × 4,557.75
4. Step 4: Simplify right side
   2,968.50x = 20,773,085.06
5. Step 5: Solve for x
   x = 20,773,085.06/2,968.50
6. Step 6: Final answer
   x = 6,997.84