Finding the Third Proportional to 13,933.50 and 21,854.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,933.50 : 21,854.25 = 21,854.25 : x
2. Step 2: Convert to fraction form
   13,933.50/21,854.25 = 21,854.25/x
3. Step 3: Cross multiply
   13,933.50x = 21,854.25 × 21,854.25
4. Step 4: Simplify right side
   13,933.50x = 477,608,243.06
5. Step 5: Solve for x
   x = 477,608,243.06/13,933.50
6. Step 6: Final answer
   x = 34,277.69