Finding the Third Proportional to 16,022 and 37,426

Step by Step Solution

1. Step 1: Write the proportion equation
   16,022 : 37,426 = 37,426 : x
2. Step 2: Convert to fraction form
   16,022/37,426 = 37,426/x
3. Step 3: Cross multiply
   16,022x = 37,426 × 37,426
4. Step 4: Simplify right side
   16,022x = 1,400,705,476
5. Step 5: Solve for x
   x = 1,400,705,476/16,022
6. Step 6: Final answer
   x = 87,423.88