Finding the Third Proportional to 6,581.25 and 9,410.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,581.25 : 9,410.63 = 9,410.63 : x
2. Step 2: Convert to fraction form
   6,581.25/9,410.63 = 9,410.63/x
3. Step 3: Cross multiply
   6,581.25x = 9,410.63 × 9,410.63
4. Step 4: Simplify right side
   6,581.25x = 88,559,862.89
5. Step 5: Solve for x
   x = 88,559,862.89/6,581.25
6. Step 6: Final answer
   x = 13,456.39