Finding the Third Proportional to 21,577 and 33,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,577 : 33,904.50 = 33,904.50 : x
2. Step 2: Convert to fraction form
   21,577/33,904.50 = 33,904.50/x
3. Step 3: Cross multiply
   21,577x = 33,904.50 × 33,904.50
4. Step 4: Simplify right side
   21,577x = 1,149,515,120.25
5. Step 5: Solve for x
   x = 1,149,515,120.25/21,577
6. Step 6: Final answer
   x = 53,275.02