Finding the Third Proportional to 5,890.50 and 14,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,890.50 : 14,429.25 = 14,429.25 : x
2. Step 2: Convert to fraction form
   5,890.50/14,429.25 = 14,429.25/x
3. Step 3: Cross multiply
   5,890.50x = 14,429.25 × 14,429.25
4. Step 4: Simplify right side
   5,890.50x = 208,203,255.56
5. Step 5: Solve for x
   x = 208,203,255.56/5,890.50
6. Step 6: Final answer
   x = 35,345.60