Finding the Third Proportional to 10,021.22 and 15,577.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021.22 : 15,577.31 = 15,577.31 : x
2. Step 2: Convert to fraction form
   10,021.22/15,577.31 = 15,577.31/x
3. Step 3: Cross multiply
   10,021.22x = 15,577.31 × 15,577.31
4. Step 4: Simplify right side
   10,021.22x = 242,652,664.72
5. Step 5: Solve for x
   x = 242,652,664.72/10,021.22
6. Step 6: Final answer
   x = 24,213.89