Finding the Third Proportional to 3,191.88 and 4,855.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,191.88 : 4,855.38 = 4,855.38 : x
2. Step 2: Convert to fraction form
   3,191.88/4,855.38 = 4,855.38/x
3. Step 3: Cross multiply
   3,191.88x = 4,855.38 × 4,855.38
4. Step 4: Simplify right side
   3,191.88x = 23,574,666.39
5. Step 5: Solve for x
   x = 23,574,666.39/3,191.88
6. Step 6: Final answer
   x = 7,385.84