Finding the Third Proportional to 10,507.22 and 16,268.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507.22 : 16,268.34 = 16,268.34 : x
2. Step 2: Convert to fraction form
   10,507.22/16,268.34 = 16,268.34/x
3. Step 3: Cross multiply
   10,507.22x = 16,268.34 × 16,268.34
4. Step 4: Simplify right side
   10,507.22x = 264,659,008.37
5. Step 5: Solve for x
   x = 264,659,008.37/10,507.22
6. Step 6: Final answer
   x = 25,188.30