Finding the Third Proportional to 11,223 and 17,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,223 : 17,374.50 = 17,374.50 : x
2. Step 2: Convert to fraction form
   11,223/17,374.50 = 17,374.50/x
3. Step 3: Cross multiply
   11,223x = 17,374.50 × 17,374.50
4. Step 4: Simplify right side
   11,223x = 301,873,250.25
5. Step 5: Solve for x
   x = 301,873,250.25/11,223
6. Step 6: Final answer
   x = 26,897.73