Finding the Third Proportional to 16,870 and 36,414

Step by Step Solution

1. Step 1: Write the proportion equation
   16,870 : 36,414 = 36,414 : x
2. Step 2: Convert to fraction form
   16,870/36,414 = 36,414/x
3. Step 3: Cross multiply
   16,870x = 36,414 × 36,414
4. Step 4: Simplify right side
   16,870x = 1,325,979,396
5. Step 5: Solve for x
   x = 1,325,979,396/16,870
6. Step 6: Final answer
   x = 78,599.85