Finding the Third Proportional to 17,464 and 37,697

Step by Step Solution

1. Step 1: Write the proportion equation
   17,464 : 37,697 = 37,697 : x
2. Step 2: Convert to fraction form
   17,464/37,697 = 37,697/x
3. Step 3: Cross multiply
   17,464x = 37,697 × 37,697
4. Step 4: Simplify right side
   17,464x = 1,421,063,809
5. Step 5: Solve for x
   x = 1,421,063,809/17,464
6. Step 6: Final answer
   x = 81,371.04