Finding the Third Proportional to 16,186 and 35,140

Step by Step Solution

1. Step 1: Write the proportion equation
   16,186 : 35,140 = 35,140 : x
2. Step 2: Convert to fraction form
   16,186/35,140 = 35,140/x
3. Step 3: Cross multiply
   16,186x = 35,140 × 35,140
4. Step 4: Simplify right side
   16,186x = 1,234,819,600
5. Step 5: Solve for x
   x = 1,234,819,600/16,186
6. Step 6: Final answer
   x = 76,289.36