Finding the Third Proportional to 22,519.50 and 33,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22,519.50 : 33,779.25 = 33,779.25 : x
2. Step 2: Convert to fraction form
   22,519.50/33,779.25 = 33,779.25/x
3. Step 3: Cross multiply
   22,519.50x = 33,779.25 × 33,779.25
4. Step 4: Simplify right side
   22,519.50x = 1,141,037,730.56
5. Step 5: Solve for x
   x = 1,141,037,730.56/22,519.50
6. Step 6: Final answer
   x = 50,668.88