Finding the Third Proportional to 34,758 and 71,136

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758 : 71,136 = 71,136 : x
2. Step 2: Convert to fraction form
   34,758/71,136 = 71,136/x
3. Step 3: Cross multiply
   34,758x = 71,136 × 71,136
4. Step 4: Simplify right side
   34,758x = 5,060,330,496
5. Step 5: Solve for x
   x = 5,060,330,496/34,758
6. Step 6: Final answer
   x = 145,587.50