Finding the Third Proportional to 10,991 and 25,928.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,991 : 25,928.75 = 25,928.75 : x
2. Step 2: Convert to fraction form
   10,991/25,928.75 = 25,928.75/x
3. Step 3: Cross multiply
   10,991x = 25,928.75 × 25,928.75
4. Step 4: Simplify right side
   10,991x = 672,300,076.56
5. Step 5: Solve for x
   x = 672,300,076.56/10,991
6. Step 6: Final answer
   x = 61,168.24