Finding the Third Proportional to 10,579 and 22,528

Step by Step Solution

1. Step 1: Write the proportion equation
   10,579 : 22,528 = 22,528 : x
2. Step 2: Convert to fraction form
   10,579/22,528 = 22,528/x
3. Step 3: Cross multiply
   10,579x = 22,528 × 22,528
4. Step 4: Simplify right side
   10,579x = 507,510,784
5. Step 5: Solve for x
   x = 507,510,784/10,579
6. Step 6: Final answer
   x = 47,973.42