Finding the Third Proportional to 17,658 and 37,422

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 37,422 = 37,422 : x
2. Step 2: Convert to fraction form
   17,658/37,422 = 37,422/x
3. Step 3: Cross multiply
   17,658x = 37,422 × 37,422
4. Step 4: Simplify right side
   17,658x = 1,400,406,084
5. Step 5: Solve for x
   x = 1,400,406,084/17,658
6. Step 6: Final answer
   x = 79,307.17