Finding the Third Proportional to 11,724 and 25,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,724 : 25,297.50 = 25,297.50 : x
2. Step 2: Convert to fraction form
   11,724/25,297.50 = 25,297.50/x
3. Step 3: Cross multiply
   11,724x = 25,297.50 × 25,297.50
4. Step 4: Simplify right side
   11,724x = 639,963,506.25
5. Step 5: Solve for x
   x = 639,963,506.25/11,724
6. Step 6: Final answer
   x = 54,585.76