Finding the Third Proportional to 10,206 and 23,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 23,667.75 = 23,667.75 : x
2. Step 2: Convert to fraction form
   10,206/23,667.75 = 23,667.75/x
3. Step 3: Cross multiply
   10,206x = 23,667.75 × 23,667.75
4. Step 4: Simplify right side
   10,206x = 560,162,390.06
5. Step 5: Solve for x
   x = 560,162,390.06/10,206
6. Step 6: Final answer
   x = 54,885.60