Finding the Third Proportional to 11,906 and 25,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,906 : 25,928.50 = 25,928.50 : x
2. Step 2: Convert to fraction form
   11,906/25,928.50 = 25,928.50/x
3. Step 3: Cross multiply
   11,906x = 25,928.50 × 25,928.50
4. Step 4: Simplify right side
   11,906x = 672,287,112.25
5. Step 5: Solve for x
   x = 672,287,112.25/11,906
6. Step 6: Final answer
   x = 56,466.24