Finding the Third Proportional to 37,640 and 81,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 81,616 = 81,616 : x
2. Step 2: Convert to fraction form
   37,640/81,616 = 81,616/x
3. Step 3: Cross multiply
   37,640x = 81,616 × 81,616
4. Step 4: Simplify right side
   37,640x = 6,661,171,456
5. Step 5: Solve for x
   x = 6,661,171,456/37,640
6. Step 6: Final answer
   x = 176,970.55