Finding the Third Proportional to 705.38 and 826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   705.38 : 826.88 = 826.88 : x
2. Step 2: Convert to fraction form
   705.38/826.88 = 826.88/x
3. Step 3: Cross multiply
   705.38x = 826.88 × 826.88
4. Step 4: Simplify right side
   705.38x = 683,722.27
5. Step 5: Solve for x
   x = 683,722.27/705.38
6. Step 6: Final answer
   x = 969.30