Finding the Third Proportional to 36,864 and 59,136

Step by Step Solution

1. Step 1: Write the proportion equation
   36,864 : 59,136 = 59,136 : x
2. Step 2: Convert to fraction form
   36,864/59,136 = 59,136/x
3. Step 3: Cross multiply
   36,864x = 59,136 × 59,136
4. Step 4: Simplify right side
   36,864x = 3,497,066,496
5. Step 5: Solve for x
   x = 3,497,066,496/36,864
6. Step 6: Final answer
   x = 94,864