Finding the Third Proportional to 37,438 and 82,410

Step by Step Solution

1. Step 1: Write the proportion equation
   37,438 : 82,410 = 82,410 : x
2. Step 2: Convert to fraction form
   37,438/82,410 = 82,410/x
3. Step 3: Cross multiply
   37,438x = 82,410 × 82,410
4. Step 4: Simplify right side
   37,438x = 6,791,408,100
5. Step 5: Solve for x
   x = 6,791,408,100/37,438
6. Step 6: Final answer
   x = 181,404.14