Finding the Third Proportional to 52,936 and 82,136

Step by Step Solution

1. Step 1: Write the proportion equation
   52,936 : 82,136 = 82,136 : x
2. Step 2: Convert to fraction form
   52,936/82,136 = 82,136/x
3. Step 3: Cross multiply
   52,936x = 82,136 × 82,136
4. Step 4: Simplify right side
   52,936x = 6,746,322,496
5. Step 5: Solve for x
   x = 6,746,322,496/52,936
6. Step 6: Final answer
   x = 127,443.00