Finding the Third Proportional to 37,882 and 80,624

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882 : 80,624 = 80,624 : x
2. Step 2: Convert to fraction form
   37,882/80,624 = 80,624/x
3. Step 3: Cross multiply
   37,882x = 80,624 × 80,624
4. Step 4: Simplify right side
   37,882x = 6,500,229,376
5. Step 5: Solve for x
   x = 6,500,229,376/37,882
6. Step 6: Final answer
   x = 171,591.50