Finding the Third Proportional to 5,923.50 and 12,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,923.50 : 12,758.25 = 12,758.25 : x
2. Step 2: Convert to fraction form
   5,923.50/12,758.25 = 12,758.25/x
3. Step 3: Cross multiply
   5,923.50x = 12,758.25 × 12,758.25
4. Step 4: Simplify right side
   5,923.50x = 162,772,943.06
5. Step 5: Solve for x
   x = 162,772,943.06/5,923.50
6. Step 6: Final answer
   x = 27,479.18