Finding the Third Proportional to 526.82 and 1,164.69

Step by Step Solution

1. Step 1: Write the proportion equation
   526.82 : 1,164.69 = 1,164.69 : x
2. Step 2: Convert to fraction form
   526.82/1,164.69 = 1,164.69/x
3. Step 3: Cross multiply
   526.82x = 1,164.69 × 1,164.69
4. Step 4: Simplify right side
   526.82x = 1,356,506.07
5. Step 5: Solve for x
   x = 1,356,506.07/526.82
6. Step 6: Final answer
   x = 2,574.91