Finding the Third Proportional to 18,640 and 37,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,640 : 37,266.50 = 37,266.50 : x
2. Step 2: Convert to fraction form
   18,640/37,266.50 = 37,266.50/x
3. Step 3: Cross multiply
   18,640x = 37,266.50 × 37,266.50
4. Step 4: Simplify right side
   18,640x = 1,388,792,022.25
5. Step 5: Solve for x
   x = 1,388,792,022.25/18,640
6. Step 6: Final answer
   x = 74,506.01