Finding the Third Proportional to 37,456 and 81,946

Step by Step Solution

1. Step 1: Write the proportion equation
   37,456 : 81,946 = 81,946 : x
2. Step 2: Convert to fraction form
   37,456/81,946 = 81,946/x
3. Step 3: Cross multiply
   37,456x = 81,946 × 81,946
4. Step 4: Simplify right side
   37,456x = 6,715,146,916
5. Step 5: Solve for x
   x = 6,715,146,916/37,456
6. Step 6: Final answer
   x = 179,280.94