Finding the Third Proportional to 32,520 and 71,136

Step by Step Solution

1. Step 1: Write the proportion equation
   32,520 : 71,136 = 71,136 : x
2. Step 2: Convert to fraction form
   32,520/71,136 = 71,136/x
3. Step 3: Cross multiply
   32,520x = 71,136 × 71,136
4. Step 4: Simplify right side
   32,520x = 5,060,330,496
5. Step 5: Solve for x
   x = 5,060,330,496/32,520
6. Step 6: Final answer
   x = 155,606.72