Finding the Third Proportional to 23,164 and 35,889

Step by Step Solution

1. Step 1: Write the proportion equation
   23,164 : 35,889 = 35,889 : x
2. Step 2: Convert to fraction form
   23,164/35,889 = 35,889/x
3. Step 3: Cross multiply
   23,164x = 35,889 × 35,889
4. Step 4: Simplify right side
   23,164x = 1,288,020,321
5. Step 5: Solve for x
   x = 1,288,020,321/23,164
6. Step 6: Final answer
   x = 55,604.40