Finding the Third Proportional to 5,933.25 and 13,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,933.25 : 13,738.50 = 13,738.50 : x
2. Step 2: Convert to fraction form
   5,933.25/13,738.50 = 13,738.50/x
3. Step 3: Cross multiply
   5,933.25x = 13,738.50 × 13,738.50
4. Step 4: Simplify right side
   5,933.25x = 188,746,382.25
5. Step 5: Solve for x
   x = 188,746,382.25/5,933.25
6. Step 6: Final answer
   x = 31,811.63