Finding the Third Proportional to 22,400 and 34,136

Step by Step Solution

1. Step 1: Write the proportion equation
   22,400 : 34,136 = 34,136 : x
2. Step 2: Convert to fraction form
   22,400/34,136 = 34,136/x
3. Step 3: Cross multiply
   22,400x = 34,136 × 34,136
4. Step 4: Simplify right side
   22,400x = 1,165,266,496
5. Step 5: Solve for x
   x = 1,165,266,496/22,400
6. Step 6: Final answer
   x = 52,020.83