Finding the Third Proportional to 9,591.75 and 14,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,591.75 : 14,897.25 = 14,897.25 : x
2. Step 2: Convert to fraction form
   9,591.75/14,897.25 = 14,897.25/x
3. Step 3: Cross multiply
   9,591.75x = 14,897.25 × 14,897.25
4. Step 4: Simplify right side
   9,591.75x = 221,928,057.56
5. Step 5: Solve for x
   x = 221,928,057.56/9,591.75
6. Step 6: Final answer
   x = 23,137.39