Finding the Third Proportional to 41,964 and 85,872

Step by Step Solution

1. Step 1: Write the proportion equation
   41,964 : 85,872 = 85,872 : x
2. Step 2: Convert to fraction form
   41,964/85,872 = 85,872/x
3. Step 3: Cross multiply
   41,964x = 85,872 × 85,872
4. Step 4: Simplify right side
   41,964x = 7,374,000,384
5. Step 5: Solve for x
   x = 7,374,000,384/41,964
6. Step 6: Final answer
   x = 175,722.06