Finding the Third Proportional to 2,085.38 and 4,533.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.38 : 4,533.75 = 4,533.75 : x
2. Step 2: Convert to fraction form
   2,085.38/4,533.75 = 4,533.75/x
3. Step 3: Cross multiply
   2,085.38x = 4,533.75 × 4,533.75
4. Step 4: Simplify right side
   2,085.38x = 20,554,889.06
5. Step 5: Solve for x
   x = 20,554,889.06/2,085.38
6. Step 6: Final answer
   x = 9,856.69