Finding the Third Proportional to 5,881.50 and 13,497.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,881.50 : 13,497.75 = 13,497.75 : x
2. Step 2: Convert to fraction form
   5,881.50/13,497.75 = 13,497.75/x
3. Step 3: Cross multiply
   5,881.50x = 13,497.75 × 13,497.75
4. Step 4: Simplify right side
   5,881.50x = 182,189,255.06
5. Step 5: Solve for x
   x = 182,189,255.06/5,881.50
6. Step 6: Final answer
   x = 30,976.66