Finding the Third Proportional to 37,622 and 80,426

Step by Step Solution

1. Step 1: Write the proportion equation
   37,622 : 80,426 = 80,426 : x
2. Step 2: Convert to fraction form
   37,622/80,426 = 80,426/x
3. Step 3: Cross multiply
   37,622x = 80,426 × 80,426
4. Step 4: Simplify right side
   37,622x = 6,468,341,476
5. Step 5: Solve for x
   x = 6,468,341,476/37,622
6. Step 6: Final answer
   x = 171,929.76