Finding the Third Proportional to 35,968 and 77,136

Step by Step Solution

1. Step 1: Write the proportion equation
   35,968 : 77,136 = 77,136 : x
2. Step 2: Convert to fraction form
   35,968/77,136 = 77,136/x
3. Step 3: Cross multiply
   35,968x = 77,136 × 77,136
4. Step 4: Simplify right side
   35,968x = 5,949,962,496
5. Step 5: Solve for x
   x = 5,949,962,496/35,968
6. Step 6: Final answer
   x = 165,423.78