Finding the Third Proportional to 34,224 and 71,136

Step by Step Solution

1. Step 1: Write the proportion equation
   34,224 : 71,136 = 71,136 : x
2. Step 2: Convert to fraction form
   34,224/71,136 = 71,136/x
3. Step 3: Cross multiply
   34,224x = 71,136 × 71,136
4. Step 4: Simplify right side
   34,224x = 5,060,330,496
5. Step 5: Solve for x
   x = 5,060,330,496/34,224
6. Step 6: Final answer
   x = 147,859.12