Finding the Third Proportional to 16,100 and 37,612

Step by Step Solution

1. Step 1: Write the proportion equation
   16,100 : 37,612 = 37,612 : x
2. Step 2: Convert to fraction form
   16,100/37,612 = 37,612/x
3. Step 3: Cross multiply
   16,100x = 37,612 × 37,612
4. Step 4: Simplify right side
   16,100x = 1,414,662,544
5. Step 5: Solve for x
   x = 1,414,662,544/16,100
6. Step 6: Final answer
   x = 87,867.24