Finding the Third Proportional to 9,527.22 and 14,152.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,527.22 : 14,152.69 = 14,152.69 : x
2. Step 2: Convert to fraction form
   9,527.22/14,152.69 = 14,152.69/x
3. Step 3: Cross multiply
   9,527.22x = 14,152.69 × 14,152.69
4. Step 4: Simplify right side
   9,527.22x = 200,298,563.47
5. Step 5: Solve for x
   x = 200,298,563.47/9,527.22
6. Step 6: Final answer
   x = 21,023.82