Finding the Third Proportional to 532.41 and 826.45

Step by Step Solution

1. Step 1: Write the proportion equation
   532.41 : 826.45 = 826.45 : x
2. Step 2: Convert to fraction form
   532.41/826.45 = 826.45/x
3. Step 3: Cross multiply
   532.41x = 826.45 × 826.45
4. Step 4: Simplify right side
   532.41x = 683,024.77
5. Step 5: Solve for x
   x = 683,024.77/532.41
6. Step 6: Final answer
   x = 1,282.90