Finding the Third Proportional to 49,696 and 73,136

Step by Step Solution

1. Step 1: Write the proportion equation
   49,696 : 73,136 = 73,136 : x
2. Step 2: Convert to fraction form
   49,696/73,136 = 73,136/x
3. Step 3: Cross multiply
   49,696x = 73,136 × 73,136
4. Step 4: Simplify right side
   49,696x = 5,348,874,496
5. Step 5: Solve for x
   x = 5,348,874,496/49,696
6. Step 6: Final answer
   x = 107,631.89