Finding the Third Proportional to 10,272 and 15,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,272 : 15,843.50 = 15,843.50 : x
2. Step 2: Convert to fraction form
   10,272/15,843.50 = 15,843.50/x
3. Step 3: Cross multiply
   10,272x = 15,843.50 × 15,843.50
4. Step 4: Simplify right side
   10,272x = 251,016,492.25
5. Step 5: Solve for x
   x = 251,016,492.25/10,272
6. Step 6: Final answer
   x = 24,436.96