Finding the Third Proportional to 32,966 and 72,136

Step by Step Solution

1. Step 1: Write the proportion equation
   32,966 : 72,136 = 72,136 : x
2. Step 2: Convert to fraction form
   32,966/72,136 = 72,136/x
3. Step 3: Cross multiply
   32,966x = 72,136 × 72,136
4. Step 4: Simplify right side
   32,966x = 5,203,602,496
5. Step 5: Solve for x
   x = 5,203,602,496/32,966
6. Step 6: Final answer
   x = 157,847.55