Finding the Third Proportional to 37,751 and 82,780

Step by Step Solution

1. Step 1: Write the proportion equation
   37,751 : 82,780 = 82,780 : x
2. Step 2: Convert to fraction form
   37,751/82,780 = 82,780/x
3. Step 3: Cross multiply
   37,751x = 82,780 × 82,780
4. Step 4: Simplify right side
   37,751x = 6,852,528,400
5. Step 5: Solve for x
   x = 6,852,528,400/37,751
6. Step 6: Final answer
   x = 181,519.12