Finding the Third Proportional to 4,215.75 and 9,947.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,215.75 : 9,947.06 = 9,947.06 : x
2. Step 2: Convert to fraction form
   4,215.75/9,947.06 = 9,947.06/x
3. Step 3: Cross multiply
   4,215.75x = 9,947.06 × 9,947.06
4. Step 4: Simplify right side
   4,215.75x = 98,944,052.38
5. Step 5: Solve for x
   x = 98,944,052.38/4,215.75
6. Step 6: Final answer
   x = 23,470.09