Finding the Third Proportional to 10,199.25 and 22,757.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 22,757.63 = 22,757.63 : x
2. Step 2: Convert to fraction form
   10,199.25/22,757.63 = 22,757.63/x
3. Step 3: Cross multiply
   10,199.25x = 22,757.63 × 22,757.63
4. Step 4: Simplify right side
   10,199.25x = 517,909,495.64
5. Step 5: Solve for x
   x = 517,909,495.64/10,199.25
6. Step 6: Final answer
   x = 50,779.17