Finding the Third Proportional to 2,277.75 and 4,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.75 : 4,861.50 = 4,861.50 : x
2. Step 2: Convert to fraction form
   2,277.75/4,861.50 = 4,861.50/x
3. Step 3: Cross multiply
   2,277.75x = 4,861.50 × 4,861.50
4. Step 4: Simplify right side
   2,277.75x = 23,634,182.25
5. Step 5: Solve for x
   x = 23,634,182.25/2,277.75
6. Step 6: Final answer
   x = 10,376.11