Finding the Third Proportional to 2,470.50 and 5,384.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.50 : 5,384.60 = 5,384.60 : x
2. Step 2: Convert to fraction form
   2,470.50/5,384.60 = 5,384.60/x
3. Step 3: Cross multiply
   2,470.50x = 5,384.60 × 5,384.60
4. Step 4: Simplify right side
   2,470.50x = 28,993,933.99
5. Step 5: Solve for x
   x = 28,993,933.99/2,470.50
6. Step 6: Final answer
   x = 11,736.06