Finding the Third Proportional to 787.41 and 853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   787.41 : 853.69 = 853.69 : x
2. Step 2: Convert to fraction form
   787.41/853.69 = 853.69/x
3. Step 3: Cross multiply
   787.41x = 853.69 × 853.69
4. Step 4: Simplify right side
   787.41x = 728,782.35
5. Step 5: Solve for x
   x = 728,782.35/787.41
6. Step 6: Final answer
   x = 925.55