Finding the Third Proportional to 23,136 and 34,864

Step by Step Solution

1. Step 1: Write the proportion equation
   23,136 : 34,864 = 34,864 : x
2. Step 2: Convert to fraction form
   23,136/34,864 = 34,864/x
3. Step 3: Cross multiply
   23,136x = 34,864 × 34,864
4. Step 4: Simplify right side
   23,136x = 1,215,498,496
5. Step 5: Solve for x
   x = 1,215,498,496/23,136
6. Step 6: Final answer
   x = 52,537.11