Finding the Third Proportional to 11,515.50 and 23,758.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,515.50 : 23,758.31 = 23,758.31 : x
2. Step 2: Convert to fraction form
   11,515.50/23,758.31 = 23,758.31/x
3. Step 3: Cross multiply
   11,515.50x = 23,758.31 × 23,758.31
4. Step 4: Simplify right side
   11,515.50x = 564,457,412.85
5. Step 5: Solve for x
   x = 564,457,412.85/11,515.50
6. Step 6: Final answer
   x = 49,017.19