Finding the Third Proportional to 17,830 and 37,699

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830 : 37,699 = 37,699 : x
2. Step 2: Convert to fraction form
   17,830/37,699 = 37,699/x
3. Step 3: Cross multiply
   17,830x = 37,699 × 37,699
4. Step 4: Simplify right side
   17,830x = 1,421,214,601
5. Step 5: Solve for x
   x = 1,421,214,601/17,830
6. Step 6: Final answer
   x = 79,709.18