Finding the Third Proportional to 16,102 and 37,624

Step by Step Solution

1. Step 1: Write the proportion equation
   16,102 : 37,624 = 37,624 : x
2. Step 2: Convert to fraction form
   16,102/37,624 = 37,624/x
3. Step 3: Cross multiply
   16,102x = 37,624 × 37,624
4. Step 4: Simplify right side
   16,102x = 1,415,565,376
5. Step 5: Solve for x
   x = 1,415,565,376/16,102
6. Step 6: Final answer
   x = 87,912.39