Finding the Third Proportional to 37,578 and 80,970

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 80,970 = 80,970 : x
2. Step 2: Convert to fraction form
   37,578/80,970 = 80,970/x
3. Step 3: Cross multiply
   37,578x = 80,970 × 80,970
4. Step 4: Simplify right side
   37,578x = 6,556,140,900
5. Step 5: Solve for x
   x = 6,556,140,900/37,578
6. Step 6: Final answer
   x = 174,467.53