Finding the Third Proportional to 2,299.50 and 4,964

Step by Step Solution

1. Step 1: Write the proportion equation
   2,299.50 : 4,964 = 4,964 : x
2. Step 2: Convert to fraction form
   2,299.50/4,964 = 4,964/x
3. Step 3: Cross multiply
   2,299.50x = 4,964 × 4,964
4. Step 4: Simplify right side
   2,299.50x = 24,641,296
5. Step 5: Solve for x
   x = 24,641,296/2,299.50
6. Step 6: Final answer
   x = 10,715.94