Finding the Third Proportional to 16,164 and 34,280

Step by Step Solution

1. Step 1: Write the proportion equation
   16,164 : 34,280 = 34,280 : x
2. Step 2: Convert to fraction form
   16,164/34,280 = 34,280/x
3. Step 3: Cross multiply
   16,164x = 34,280 × 34,280
4. Step 4: Simplify right side
   16,164x = 1,175,118,400
5. Step 5: Solve for x
   x = 1,175,118,400/16,164
6. Step 6: Final answer
   x = 72,699.73