Finding the Third Proportional to 17,796 and 37,780

Step by Step Solution

1. Step 1: Write the proportion equation
   17,796 : 37,780 = 37,780 : x
2. Step 2: Convert to fraction form
   17,796/37,780 = 37,780/x
3. Step 3: Cross multiply
   17,796x = 37,780 × 37,780
4. Step 4: Simplify right side
   17,796x = 1,427,328,400
5. Step 5: Solve for x
   x = 1,427,328,400/17,796
6. Step 6: Final answer
   x = 80,205.01