Finding the Third Proportional to 17,599 and 37,019

Step by Step Solution

1. Step 1: Write the proportion equation
   17,599 : 37,019 = 37,019 : x
2. Step 2: Convert to fraction form
   17,599/37,019 = 37,019/x
3. Step 3: Cross multiply
   17,599x = 37,019 × 37,019
4. Step 4: Simplify right side
   17,599x = 1,370,406,361
5. Step 5: Solve for x
   x = 1,370,406,361/17,599
6. Step 6: Final answer
   x = 77,868.42