Finding the Third Proportional to 10,839 and 22,527

Step by Step Solution

1. Step 1: Write the proportion equation
   10,839 : 22,527 = 22,527 : x
2. Step 2: Convert to fraction form
   10,839/22,527 = 22,527/x
3. Step 3: Cross multiply
   10,839x = 22,527 × 22,527
4. Step 4: Simplify right side
   10,839x = 507,465,729
5. Step 5: Solve for x
   x = 507,465,729/10,839
6. Step 6: Final answer
   x = 46,818.50