Finding the Third Proportional to 9,591 and 22,560

Step by Step Solution

1. Step 1: Write the proportion equation
   9,591 : 22,560 = 22,560 : x
2. Step 2: Convert to fraction form
   9,591/22,560 = 22,560/x
3. Step 3: Cross multiply
   9,591x = 22,560 × 22,560
4. Step 4: Simplify right side
   9,591x = 508,953,600
5. Step 5: Solve for x
   x = 508,953,600/9,591
6. Step 6: Final answer
   x = 53,065.75