Finding the Third Proportional to 25,366.50 and 36,537.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,366.50 : 36,537.75 = 36,537.75 : x
2. Step 2: Convert to fraction form
   25,366.50/36,537.75 = 36,537.75/x
3. Step 3: Cross multiply
   25,366.50x = 36,537.75 × 36,537.75
4. Step 4: Simplify right side
   25,366.50x = 1,335,007,175.06
5. Step 5: Solve for x
   x = 1,335,007,175.06/25,366.50
6. Step 6: Final answer
   x = 52,628.75