Finding the Third Proportional to 381.38 and 575.86

Step by Step Solution

1. Step 1: Write the proportion equation
   381.38 : 575.86 = 575.86 : x
2. Step 2: Convert to fraction form
   381.38/575.86 = 575.86/x
3. Step 3: Cross multiply
   381.38x = 575.86 × 575.86
4. Step 4: Simplify right side
   381.38x = 331,614.02
5. Step 5: Solve for x
   x = 331,614.02/381.38
6. Step 6: Final answer
   x = 869.52