Finding the Third Proportional to 37,650 and 80,404

Step by Step Solution

1. Step 1: Write the proportion equation
   37,650 : 80,404 = 80,404 : x
2. Step 2: Convert to fraction form
   37,650/80,404 = 80,404/x
3. Step 3: Cross multiply
   37,650x = 80,404 × 80,404
4. Step 4: Simplify right side
   37,650x = 6,464,803,216
5. Step 5: Solve for x
   x = 6,464,803,216/37,650
6. Step 6: Final answer
   x = 171,707.92