Finding the Third Proportional to 13,828.22 and 18,657.84

Step by Step Solution

1. Step 1: Write the proportion equation
   13,828.22 : 18,657.84 = 18,657.84 : x
2. Step 2: Convert to fraction form
   13,828.22/18,657.84 = 18,657.84/x
3. Step 3: Cross multiply
   13,828.22x = 18,657.84 × 18,657.84
4. Step 4: Simplify right side
   13,828.22x = 348,115,133.40
5. Step 5: Solve for x
   x = 348,115,133.40/13,828.22
6. Step 6: Final answer
   x = 25,174.26