Finding the Third Proportional to 37,844 and 80,470

Step by Step Solution

1. Step 1: Write the proportion equation
   37,844 : 80,470 = 80,470 : x
2. Step 2: Convert to fraction form
   37,844/80,470 = 80,470/x
3. Step 3: Cross multiply
   37,844x = 80,470 × 80,470
4. Step 4: Simplify right side
   37,844x = 6,475,420,900
5. Step 5: Solve for x
   x = 6,475,420,900/37,844
6. Step 6: Final answer
   x = 171,108.26