Finding the Third Proportional to 2,284.50 and 4,876.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,284.50 : 4,876.88 = 4,876.88 : x
2. Step 2: Convert to fraction form
   2,284.50/4,876.88 = 4,876.88/x
3. Step 3: Cross multiply
   2,284.50x = 4,876.88 × 4,876.88
4. Step 4: Simplify right side
   2,284.50x = 23,783,909.77
5. Step 5: Solve for x
   x = 23,783,909.77/2,284.50
6. Step 6: Final answer
   x = 10,410.99