Finding the Third Proportional to 17,655 and 37,677

Step by Step Solution

1. Step 1: Write the proportion equation
   17,655 : 37,677 = 37,677 : x
2. Step 2: Convert to fraction form
   17,655/37,677 = 37,677/x
3. Step 3: Cross multiply
   17,655x = 37,677 × 37,677
4. Step 4: Simplify right side
   17,655x = 1,419,556,329
5. Step 5: Solve for x
   x = 1,419,556,329/17,655
6. Step 6: Final answer
   x = 80,405.34