Finding the Third Proportional to 37,648 and 80,400

Step by Step Solution

1. Step 1: Write the proportion equation
   37,648 : 80,400 = 80,400 : x
2. Step 2: Convert to fraction form
   37,648/80,400 = 80,400/x
3. Step 3: Cross multiply
   37,648x = 80,400 × 80,400
4. Step 4: Simplify right side
   37,648x = 6,464,160,000
5. Step 5: Solve for x
   x = 6,464,160,000/37,648
6. Step 6: Final answer
   x = 171,699.96