Finding the Third Proportional to 11,828.25 and 15,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,828.25 : 15,862.50 = 15,862.50 : x
2. Step 2: Convert to fraction form
   11,828.25/15,862.50 = 15,862.50/x
3. Step 3: Cross multiply
   11,828.25x = 15,862.50 × 15,862.50
4. Step 4: Simplify right side
   11,828.25x = 251,618,906.25
5. Step 5: Solve for x
   x = 251,618,906.25/11,828.25
6. Step 6: Final answer
   x = 21,272.71