Finding the Third Proportional to 20,164 and 43,789

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 43,789 = 43,789 : x
2. Step 2: Convert to fraction form
   20,164/43,789 = 43,789/x
3. Step 3: Cross multiply
   20,164x = 43,789 × 43,789
4. Step 4: Simplify right side
   20,164x = 1,917,476,521
5. Step 5: Solve for x
   x = 1,917,476,521/20,164
6. Step 6: Final answer
   x = 95,094.05