Finding the Third Proportional to 9,947.25 and 21,669.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,947.25 : 21,669.75 = 21,669.75 : x
2. Step 2: Convert to fraction form
   9,947.25/21,669.75 = 21,669.75/x
3. Step 3: Cross multiply
   9,947.25x = 21,669.75 × 21,669.75
4. Step 4: Simplify right side
   9,947.25x = 469,578,065.06
5. Step 5: Solve for x
   x = 469,578,065.06/9,947.25
6. Step 6: Final answer
   x = 47,206.82