Finding the Third Proportional to 37,582 and 80,978

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 80,978 = 80,978 : x
2. Step 2: Convert to fraction form
   37,582/80,978 = 80,978/x
3. Step 3: Cross multiply
   37,582x = 80,978 × 80,978
4. Step 4: Simplify right side
   37,582x = 6,557,436,484
5. Step 5: Solve for x
   x = 6,557,436,484/37,582
6. Step 6: Final answer
   x = 174,483.44