Finding the Third Proportional to 17,599 and 37,949

Step by Step Solution

1. Step 1: Write the proportion equation
   17,599 : 37,949 = 37,949 : x
2. Step 2: Convert to fraction form
   17,599/37,949 = 37,949/x
3. Step 3: Cross multiply
   17,599x = 37,949 × 37,949
4. Step 4: Simplify right side
   17,599x = 1,440,126,601
5. Step 5: Solve for x
   x = 1,440,126,601/17,599
6. Step 6: Final answer
   x = 81,830.02