Finding the Third Proportional to 19,779.75 and 24,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,779.75 : 24,005.25 = 24,005.25 : x
2. Step 2: Convert to fraction form
   19,779.75/24,005.25 = 24,005.25/x
3. Step 3: Cross multiply
   19,779.75x = 24,005.25 × 24,005.25
4. Step 4: Simplify right side
   19,779.75x = 576,252,027.56
5. Step 5: Solve for x
   x = 576,252,027.56/19,779.75
6. Step 6: Final answer
   x = 29,133.43