Finding the Third Proportional to 37,408 and 82,228

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 82,228 = 82,228 : x
2. Step 2: Convert to fraction form
   37,408/82,228 = 82,228/x
3. Step 3: Cross multiply
   37,408x = 82,228 × 82,228
4. Step 4: Simplify right side
   37,408x = 6,761,443,984
5. Step 5: Solve for x
   x = 6,761,443,984/37,408
6. Step 6: Final answer
   x = 180,748.61