Finding the Third Proportional to 37,572 and 80,476

Step by Step Solution

1. Step 1: Write the proportion equation
   37,572 : 80,476 = 80,476 : x
2. Step 2: Convert to fraction form
   37,572/80,476 = 80,476/x
3. Step 3: Cross multiply
   37,572x = 80,476 × 80,476
4. Step 4: Simplify right side
   37,572x = 6,476,386,576
5. Step 5: Solve for x
   x = 6,476,386,576/37,572
6. Step 6: Final answer
   x = 172,372.69