Finding the Third Proportional to 527.34 and 759.59

Step by Step Solution

1. Step 1: Write the proportion equation
   527.34 : 759.59 = 759.59 : x
2. Step 2: Convert to fraction form
   527.34/759.59 = 759.59/x
3. Step 3: Cross multiply
   527.34x = 759.59 × 759.59
4. Step 4: Simplify right side
   527.34x = 576,970.80
5. Step 5: Solve for x
   x = 576,970.80/527.34
6. Step 6: Final answer
   x = 1,094.11