Finding the Third Proportional to 17,864 and 37,740

Step by Step Solution

1. Step 1: Write the proportion equation
   17,864 : 37,740 = 37,740 : x
2. Step 2: Convert to fraction form
   17,864/37,740 = 37,740/x
3. Step 3: Cross multiply
   17,864x = 37,740 × 37,740
4. Step 4: Simplify right side
   17,864x = 1,424,307,600
5. Step 5: Solve for x
   x = 1,424,307,600/17,864
6. Step 6: Final answer
   x = 79,730.61