Finding the Third Proportional to 5,926.50 and 8,930.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926.50 : 8,930.25 = 8,930.25 : x
2. Step 2: Convert to fraction form
   5,926.50/8,930.25 = 8,930.25/x
3. Step 3: Cross multiply
   5,926.50x = 8,930.25 × 8,930.25
4. Step 4: Simplify right side
   5,926.50x = 79,749,365.06
5. Step 5: Solve for x
   x = 79,749,365.06/5,926.50
6. Step 6: Final answer
   x = 13,456.40