Finding the Third Proportional to 13,926 and 21,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,926 : 21,573.50 = 21,573.50 : x
2. Step 2: Convert to fraction form
   13,926/21,573.50 = 21,573.50/x
3. Step 3: Cross multiply
   13,926x = 21,573.50 × 21,573.50
4. Step 4: Simplify right side
   13,926x = 465,415,902.25
5. Step 5: Solve for x
   x = 465,415,902.25/13,926
6. Step 6: Final answer
   x = 33,420.64