Finding the Third Proportional to 530.91 and 820.03

Step by Step Solution

1. Step 1: Write the proportion equation
   530.91 : 820.03 = 820.03 : x
2. Step 2: Convert to fraction form
   530.91/820.03 = 820.03/x
3. Step 3: Cross multiply
   530.91x = 820.03 × 820.03
4. Step 4: Simplify right side
   530.91x = 672,451.25
5. Step 5: Solve for x
   x = 672,451.25/530.91
6. Step 6: Final answer
   x = 1,266.61