Finding the Third Proportional to 37,543 and 80,005

Step by Step Solution

1. Step 1: Write the proportion equation
   37,543 : 80,005 = 80,005 : x
2. Step 2: Convert to fraction form
   37,543/80,005 = 80,005/x
3. Step 3: Cross multiply
   37,543x = 80,005 × 80,005
4. Step 4: Simplify right side
   37,543x = 6,400,800,025
5. Step 5: Solve for x
   x = 6,400,800,025/37,543
6. Step 6: Final answer
   x = 170,492.50