Finding the Third Proportional to 9,136 and 14,516

Step by Step Solution

1. Step 1: Write the proportion equation
   9,136 : 14,516 = 14,516 : x
2. Step 2: Convert to fraction form
   9,136/14,516 = 14,516/x
3. Step 3: Cross multiply
   9,136x = 14,516 × 14,516
4. Step 4: Simplify right side
   9,136x = 210,714,256
5. Step 5: Solve for x
   x = 210,714,256/9,136
6. Step 6: Final answer
   x = 23,064.17