Finding the Third Proportional to 23,136 and 34,638

Step by Step Solution

1. Step 1: Write the proportion equation
   23,136 : 34,638 = 34,638 : x
2. Step 2: Convert to fraction form
   23,136/34,638 = 34,638/x
3. Step 3: Cross multiply
   23,136x = 34,638 × 34,638
4. Step 4: Simplify right side
   23,136x = 1,199,791,044
5. Step 5: Solve for x
   x = 1,199,791,044/23,136
6. Step 6: Final answer
   x = 51,858.19