Finding the Third Proportional to 37,799 and 82,780

Step by Step Solution

1. Step 1: Write the proportion equation
   37,799 : 82,780 = 82,780 : x
2. Step 2: Convert to fraction form
   37,799/82,780 = 82,780/x
3. Step 3: Cross multiply
   37,799x = 82,780 × 82,780
4. Step 4: Simplify right side
   37,799x = 6,852,528,400
5. Step 5: Solve for x
   x = 6,852,528,400/37,799
6. Step 6: Final answer
   x = 181,288.62