Finding the Third Proportional to 11,280 and 17,534

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 17,534 = 17,534 : x
2. Step 2: Convert to fraction form
   11,280/17,534 = 17,534/x
3. Step 3: Cross multiply
   11,280x = 17,534 × 17,534
4. Step 4: Simplify right side
   11,280x = 307,441,156
5. Step 5: Solve for x
   x = 307,441,156/11,280
6. Step 6: Final answer
   x = 27,255.42