Finding the Third Proportional to 18,152 and 37,690

Step by Step Solution

1. Step 1: Write the proportion equation
   18,152 : 37,690 = 37,690 : x
2. Step 2: Convert to fraction form
   18,152/37,690 = 37,690/x
3. Step 3: Cross multiply
   18,152x = 37,690 × 37,690
4. Step 4: Simplify right side
   18,152x = 1,420,536,100
5. Step 5: Solve for x
   x = 1,420,536,100/18,152
6. Step 6: Final answer
   x = 78,257.83