Finding the Third Proportional to 811.75 and 889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   811.75 : 889.38 = 889.38 : x
2. Step 2: Convert to fraction form
   811.75/889.38 = 889.38/x
3. Step 3: Cross multiply
   811.75x = 889.38 × 889.38
4. Step 4: Simplify right side
   811.75x = 790,987.89
5. Step 5: Solve for x
   x = 790,987.89/811.75
6. Step 6: Final answer
   x = 974.42