Finding the Third Proportional to 37,570 and 80,472

Step by Step Solution

1. Step 1: Write the proportion equation
   37,570 : 80,472 = 80,472 : x
2. Step 2: Convert to fraction form
   37,570/80,472 = 80,472/x
3. Step 3: Cross multiply
   37,570x = 80,472 × 80,472
4. Step 4: Simplify right side
   37,570x = 6,475,742,784
5. Step 5: Solve for x
   x = 6,475,742,784/37,570
6. Step 6: Final answer
   x = 172,364.73