Finding the Third Proportional to 17,787 and 37,764

Step by Step Solution

1. Step 1: Write the proportion equation
   17,787 : 37,764 = 37,764 : x
2. Step 2: Convert to fraction form
   17,787/37,764 = 37,764/x
3. Step 3: Cross multiply
   17,787x = 37,764 × 37,764
4. Step 4: Simplify right side
   17,787x = 1,426,119,696
5. Step 5: Solve for x
   x = 1,426,119,696/17,787
6. Step 6: Final answer
   x = 80,177.64