Finding the Third Proportional to 13,906.69 and 21,566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906.69 : 21,566.25 = 21,566.25 : x
2. Step 2: Convert to fraction form
   13,906.69/21,566.25 = 21,566.25/x
3. Step 3: Cross multiply
   13,906.69x = 21,566.25 × 21,566.25
4. Step 4: Simplify right side
   13,906.69x = 465,103,139.06
5. Step 5: Solve for x
   x = 465,103,139.06/13,906.69
6. Step 6: Final answer
   x = 33,444.57