Finding the Third Proportional to 11,251 and 17,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,251 : 17,881.50 = 17,881.50 : x
2. Step 2: Convert to fraction form
   11,251/17,881.50 = 17,881.50/x
3. Step 3: Cross multiply
   11,251x = 17,881.50 × 17,881.50
4. Step 4: Simplify right side
   11,251x = 319,748,042.25
5. Step 5: Solve for x
   x = 319,748,042.25/11,251
6. Step 6: Final answer
   x = 28,419.52