Finding the Third Proportional to 11,280 and 17,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 17,548.50 = 17,548.50 : x
2. Step 2: Convert to fraction form
   11,280/17,548.50 = 17,548.50/x
3. Step 3: Cross multiply
   11,280x = 17,548.50 × 17,548.50
4. Step 4: Simplify right side
   11,280x = 307,949,852.25
5. Step 5: Solve for x
   x = 307,949,852.25/11,280
6. Step 6: Final answer
   x = 27,300.52