Finding the Third Proportional to 37,640 and 80,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 80,280 = 80,280 : x
2. Step 2: Convert to fraction form
   37,640/80,280 = 80,280/x
3. Step 3: Cross multiply
   37,640x = 80,280 × 80,280
4. Step 4: Simplify right side
   37,640x = 6,444,878,400
5. Step 5: Solve for x
   x = 6,444,878,400/37,640
6. Step 6: Final answer
   x = 171,224.19