Finding the Third Proportional to 17,859 and 37,122

Step by Step Solution

1. Step 1: Write the proportion equation
   17,859 : 37,122 = 37,122 : x
2. Step 2: Convert to fraction form
   17,859/37,122 = 37,122/x
3. Step 3: Cross multiply
   17,859x = 37,122 × 37,122
4. Step 4: Simplify right side
   17,859x = 1,378,042,884
5. Step 5: Solve for x
   x = 1,378,042,884/17,859
6. Step 6: Final answer
   x = 77,162.38