Finding the Third Proportional to 23,106 and 54,507

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 54,507 = 54,507 : x
2. Step 2: Convert to fraction form
   23,106/54,507 = 54,507/x
3. Step 3: Cross multiply
   23,106x = 54,507 × 54,507
4. Step 4: Simplify right side
   23,106x = 2,971,013,049
5. Step 5: Solve for x
   x = 2,971,013,049/23,106
6. Step 6: Final answer
   x = 128,581.89