Finding the Third Proportional to 37,780 and 82,472

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780 : 82,472 = 82,472 : x
2. Step 2: Convert to fraction form
   37,780/82,472 = 82,472/x
3. Step 3: Cross multiply
   37,780x = 82,472 × 82,472
4. Step 4: Simplify right side
   37,780x = 6,801,630,784
5. Step 5: Solve for x
   x = 6,801,630,784/37,780
6. Step 6: Final answer
   x = 180,032.58