Finding the Third Proportional to 9,411.75 and 14,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.75 : 14,591.25 = 14,591.25 : x
2. Step 2: Convert to fraction form
   9,411.75/14,591.25 = 14,591.25/x
3. Step 3: Cross multiply
   9,411.75x = 14,591.25 × 14,591.25
4. Step 4: Simplify right side
   9,411.75x = 212,904,576.56
5. Step 5: Solve for x
   x = 212,904,576.56/9,411.75
6. Step 6: Final answer
   x = 22,621.15