Finding the Third Proportional to 37,024 and 80,617

Step by Step Solution

1. Step 1: Write the proportion equation
   37,024 : 80,617 = 80,617 : x
2. Step 2: Convert to fraction form
   37,024/80,617 = 80,617/x
3. Step 3: Cross multiply
   37,024x = 80,617 × 80,617
4. Step 4: Simplify right side
   37,024x = 6,499,100,689
5. Step 5: Solve for x
   x = 6,499,100,689/37,024
6. Step 6: Final answer
   x = 175,537.51