Finding the Third Proportional to 11,878.50 and 25,640

Step by Step Solution

1. Step 1: Write the proportion equation
   11,878.50 : 25,640 = 25,640 : x
2. Step 2: Convert to fraction form
   11,878.50/25,640 = 25,640/x
3. Step 3: Cross multiply
   11,878.50x = 25,640 × 25,640
4. Step 4: Simplify right side
   11,878.50x = 657,409,600
5. Step 5: Solve for x
   x = 657,409,600/11,878.50
6. Step 6: Final answer
   x = 55,344.50