Finding the Third Proportional to 25,969 and 37,136

Step by Step Solution

1. Step 1: Write the proportion equation
   25,969 : 37,136 = 37,136 : x
2. Step 2: Convert to fraction form
   25,969/37,136 = 37,136/x
3. Step 3: Cross multiply
   25,969x = 37,136 × 37,136
4. Step 4: Simplify right side
   25,969x = 1,379,082,496
5. Step 5: Solve for x
   x = 1,379,082,496/25,969
6. Step 6: Final answer
   x = 53,104.95