Finding the Third Proportional to 17,880 and 34,136

Step by Step Solution

1. Step 1: Write the proportion equation
   17,880 : 34,136 = 34,136 : x
2. Step 2: Convert to fraction form
   17,880/34,136 = 34,136/x
3. Step 3: Cross multiply
   17,880x = 34,136 × 34,136
4. Step 4: Simplify right side
   17,880x = 1,165,266,496
5. Step 5: Solve for x
   x = 1,165,266,496/17,880
6. Step 6: Final answer
   x = 65,171.50