Finding the Third Proportional to 20,164 and 34,476

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 34,476 = 34,476 : x
2. Step 2: Convert to fraction form
   20,164/34,476 = 34,476/x
3. Step 3: Cross multiply
   20,164x = 34,476 × 34,476
4. Step 4: Simplify right side
   20,164x = 1,188,594,576
5. Step 5: Solve for x
   x = 1,188,594,576/20,164
6. Step 6: Final answer
   x = 58,946.37