Finding the Third Proportional to 13,464 and 19,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,464 : 19,273.50 = 19,273.50 : x
2. Step 2: Convert to fraction form
   13,464/19,273.50 = 19,273.50/x
3. Step 3: Cross multiply
   13,464x = 19,273.50 × 19,273.50
4. Step 4: Simplify right side
   13,464x = 371,467,802.25
5. Step 5: Solve for x
   x = 371,467,802.25/13,464
6. Step 6: Final answer
   x = 27,589.71