Finding the Third Proportional to 953.16 and 2,081.81

Step by Step Solution

1. Step 1: Write the proportion equation
   953.16 : 2,081.81 = 2,081.81 : x
2. Step 2: Convert to fraction form
   953.16/2,081.81 = 2,081.81/x
3. Step 3: Cross multiply
   953.16x = 2,081.81 × 2,081.81
4. Step 4: Simplify right side
   953.16x = 4,333,943.29
5. Step 5: Solve for x
   x = 4,333,943.29/953.16
6. Step 6: Final answer
   x = 4,546.94