Finding the Third Proportional to 16,138 and 35,012

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 35,012 = 35,012 : x
2. Step 2: Convert to fraction form
   16,138/35,012 = 35,012/x
3. Step 3: Cross multiply
   16,138x = 35,012 × 35,012
4. Step 4: Simplify right side
   16,138x = 1,225,840,144
5. Step 5: Solve for x
   x = 1,225,840,144/16,138
6. Step 6: Final answer
   x = 75,959.86