Finding the Third Proportional to 1,013.91 and 2,082.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.91 : 2,082.94 = 2,082.94 : x
2. Step 2: Convert to fraction form
   1,013.91/2,082.94 = 2,082.94/x
3. Step 3: Cross multiply
   1,013.91x = 2,082.94 × 2,082.94
4. Step 4: Simplify right side
   1,013.91x = 4,338,628.63
5. Step 5: Solve for x
   x = 4,338,628.63/1,013.91
6. Step 6: Final answer
   x = 4,279.12