Finding the Third Proportional to 33,700 and 73,640

Step by Step Solution

1. Step 1: Write the proportion equation
   33,700 : 73,640 = 73,640 : x
2. Step 2: Convert to fraction form
   33,700/73,640 = 73,640/x
3. Step 3: Cross multiply
   33,700x = 73,640 × 73,640
4. Step 4: Simplify right side
   33,700x = 5,422,849,600
5. Step 5: Solve for x
   x = 5,422,849,600/33,700
6. Step 6: Final answer
   x = 160,915.42