Finding the Third Proportional to 16,114 and 34,164

Step by Step Solution

1. Step 1: Write the proportion equation
   16,114 : 34,164 = 34,164 : x
2. Step 2: Convert to fraction form
   16,114/34,164 = 34,164/x
3. Step 3: Cross multiply
   16,114x = 34,164 × 34,164
4. Step 4: Simplify right side
   16,114x = 1,167,178,896
5. Step 5: Solve for x
   x = 1,167,178,896/16,114
6. Step 6: Final answer
   x = 72,432.60