Finding the Third Proportional to 3,151.41 and 4,861.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,151.41 : 4,861.27 = 4,861.27 : x
2. Step 2: Convert to fraction form
   3,151.41/4,861.27 = 4,861.27/x
3. Step 3: Cross multiply
   3,151.41x = 4,861.27 × 4,861.27
4. Step 4: Simplify right side
   3,151.41x = 23,631,903.48
5. Step 5: Solve for x
   x = 23,631,903.48/3,151.41
6. Step 6: Final answer
   x = 7,498.84