Finding the Third Proportional to 2,113.59 and 4,533.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,113.59 : 4,533.47 = 4,533.47 : x
2. Step 2: Convert to fraction form
   2,113.59/4,533.47 = 4,533.47/x
3. Step 3: Cross multiply
   2,113.59x = 4,533.47 × 4,533.47
4. Step 4: Simplify right side
   2,113.59x = 20,552,338.91
5. Step 5: Solve for x
   x = 20,552,338.91/2,113.59
6. Step 6: Final answer
   x = 9,723.88