Finding the Third Proportional to 11,759 and 24,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,759 : 24,476.50 = 24,476.50 : x
2. Step 2: Convert to fraction form
   11,759/24,476.50 = 24,476.50/x
3. Step 3: Cross multiply
   11,759x = 24,476.50 × 24,476.50
4. Step 4: Simplify right side
   11,759x = 599,099,052.25
5. Step 5: Solve for x
   x = 599,099,052.25/11,759
6. Step 6: Final answer
   x = 50,948.13