Finding the Third Proportional to 10,591 and 22,540

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591 : 22,540 = 22,540 : x
2. Step 2: Convert to fraction form
   10,591/22,540 = 22,540/x
3. Step 3: Cross multiply
   10,591x = 22,540 × 22,540
4. Step 4: Simplify right side
   10,591x = 508,051,600
5. Step 5: Solve for x
   x = 508,051,600/10,591
6. Step 6: Final answer
   x = 47,970.13