Finding the Third Proportional to 17,666 and 37,438

Step by Step Solution

1. Step 1: Write the proportion equation
   17,666 : 37,438 = 37,438 : x
2. Step 2: Convert to fraction form
   17,666/37,438 = 37,438/x
3. Step 3: Cross multiply
   17,666x = 37,438 × 37,438
4. Step 4: Simplify right side
   17,666x = 1,401,603,844
5. Step 5: Solve for x
   x = 1,401,603,844/17,666
6. Step 6: Final answer
   x = 79,339.06