Finding the Third Proportional to 22,647 and 53,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   22,647 : 53,288.25 = 53,288.25 : x
2. Step 2: Convert to fraction form
   22,647/53,288.25 = 53,288.25/x
3. Step 3: Cross multiply
   22,647x = 53,288.25 × 53,288.25
4. Step 4: Simplify right side
   22,647x = 2,839,637,588.06
5. Step 5: Solve for x
   x = 2,839,637,588.06/22,647
6. Step 6: Final answer
   x = 125,386.92