Finding the Third Proportional to 10,080 and 23,136

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 23,136 = 23,136 : x
2. Step 2: Convert to fraction form
   10,080/23,136 = 23,136/x
3. Step 3: Cross multiply
   10,080x = 23,136 × 23,136
4. Step 4: Simplify right side
   10,080x = 535,274,496
5. Step 5: Solve for x
   x = 535,274,496/10,080
6. Step 6: Final answer
   x = 53,102.63