Finding the Third Proportional to 22,500 and 53,736

Step by Step Solution

1. Step 1: Write the proportion equation
   22,500 : 53,736 = 53,736 : x
2. Step 2: Convert to fraction form
   22,500/53,736 = 53,736/x
3. Step 3: Cross multiply
   22,500x = 53,736 × 53,736
4. Step 4: Simplify right side
   22,500x = 2,887,557,696
5. Step 5: Solve for x
   x = 2,887,557,696/22,500
6. Step 6: Final answer
   x = 128,335.90