Finding the Third Proportional to 35,136 and 75,240

Step by Step Solution

1. Step 1: Write the proportion equation
   35,136 : 75,240 = 75,240 : x
2. Step 2: Convert to fraction form
   35,136/75,240 = 75,240/x
3. Step 3: Cross multiply
   35,136x = 75,240 × 75,240
4. Step 4: Simplify right side
   35,136x = 5,661,057,600
5. Step 5: Solve for x
   x = 5,661,057,600/35,136
6. Step 6: Final answer
   x = 161,118.44