Finding the Third Proportional to 2,359.13 and 4,914.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.13 : 4,914.42 = 4,914.42 : x
2. Step 2: Convert to fraction form
   2,359.13/4,914.42 = 4,914.42/x
3. Step 3: Cross multiply
   2,359.13x = 4,914.42 × 4,914.42
4. Step 4: Simplify right side
   2,359.13x = 24,151,542.37
5. Step 5: Solve for x
   x = 24,151,542.37/2,359.13
6. Step 6: Final answer
   x = 10,237.50