Finding the Third Proportional to 826.45 and 1,301.06

Step by Step Solution

1. Step 1: Write the proportion equation
   826.45 : 1,301.06 = 1,301.06 : x
2. Step 2: Convert to fraction form
   826.45/1,301.06 = 1,301.06/x
3. Step 3: Cross multiply
   826.45x = 1,301.06 × 1,301.06
4. Step 4: Simplify right side
   826.45x = 1,692,763.63
5. Step 5: Solve for x
   x = 1,692,763.63/826.45
6. Step 6: Final answer
   x = 2,048.23