Finding the Third Proportional to 37,696 and 81,116

Step by Step Solution

1. Step 1: Write the proportion equation
   37,696 : 81,116 = 81,116 : x
2. Step 2: Convert to fraction form
   37,696/81,116 = 81,116/x
3. Step 3: Cross multiply
   37,696x = 81,116 × 81,116
4. Step 4: Simplify right side
   37,696x = 6,579,805,456
5. Step 5: Solve for x
   x = 6,579,805,456/37,696
6. Step 6: Final answer
   x = 174,549.17