Finding the Third Proportional to 22,709 and 48,123

Step by Step Solution

1. Step 1: Write the proportion equation
   22,709 : 48,123 = 48,123 : x
2. Step 2: Convert to fraction form
   22,709/48,123 = 48,123/x
3. Step 3: Cross multiply
   22,709x = 48,123 × 48,123
4. Step 4: Simplify right side
   22,709x = 2,315,823,129
5. Step 5: Solve for x
   x = 2,315,823,129/22,709
6. Step 6: Final answer
   x = 101,978.21