Finding the Third Proportional to 10,598 and 22,780

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 22,780 = 22,780 : x
2. Step 2: Convert to fraction form
   10,598/22,780 = 22,780/x
3. Step 3: Cross multiply
   10,598x = 22,780 × 22,780
4. Step 4: Simplify right side
   10,598x = 518,928,400
5. Step 5: Solve for x
   x = 518,928,400/10,598
6. Step 6: Final answer
   x = 48,964.75