Finding the Third Proportional to 5,752.50 and 13,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752.50 : 13,441.50 = 13,441.50 : x
2. Step 2: Convert to fraction form
   5,752.50/13,441.50 = 13,441.50/x
3. Step 3: Cross multiply
   5,752.50x = 13,441.50 × 13,441.50
4. Step 4: Simplify right side
   5,752.50x = 180,673,922.25
5. Step 5: Solve for x
   x = 180,673,922.25/5,752.50
6. Step 6: Final answer
   x = 31,407.90