Finding the Third Proportional to 16,138 and 34,212

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 34,212 = 34,212 : x
2. Step 2: Convert to fraction form
   16,138/34,212 = 34,212/x
3. Step 3: Cross multiply
   16,138x = 34,212 × 34,212
4. Step 4: Simplify right side
   16,138x = 1,170,460,944
5. Step 5: Solve for x
   x = 1,170,460,944/16,138
6. Step 6: Final answer
   x = 72,528.25