Finding the Third Proportional to 21,201 and 33,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,201 : 33,565.50 = 33,565.50 : x
2. Step 2: Convert to fraction form
   21,201/33,565.50 = 33,565.50/x
3. Step 3: Cross multiply
   21,201x = 33,565.50 × 33,565.50
4. Step 4: Simplify right side
   21,201x = 1,126,642,790.25
5. Step 5: Solve for x
   x = 1,126,642,790.25/21,201
6. Step 6: Final answer
   x = 53,141.02