Finding the Third Proportional to 37,617 and 80,418

Step by Step Solution

1. Step 1: Write the proportion equation
   37,617 : 80,418 = 80,418 : x
2. Step 2: Convert to fraction form
   37,617/80,418 = 80,418/x
3. Step 3: Cross multiply
   37,617x = 80,418 × 80,418
4. Step 4: Simplify right side
   37,617x = 6,467,054,724
5. Step 5: Solve for x
   x = 6,467,054,724/37,617
6. Step 6: Final answer
   x = 171,918.41