Finding the Third Proportional to 37,644 and 80,160

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 80,160 = 80,160 : x
2. Step 2: Convert to fraction form
   37,644/80,160 = 80,160/x
3. Step 3: Cross multiply
   37,644x = 80,160 × 80,160
4. Step 4: Simplify right side
   37,644x = 6,425,625,600
5. Step 5: Solve for x
   x = 6,425,625,600/37,644
6. Step 6: Final answer
   x = 170,694.55