Finding the Third Proportional to 7,591.22 and 10,213.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,591.22 : 10,213.59 = 10,213.59 : x
2. Step 2: Convert to fraction form
   7,591.22/10,213.59 = 10,213.59/x
3. Step 3: Cross multiply
   7,591.22x = 10,213.59 × 10,213.59
4. Step 4: Simplify right side
   7,591.22x = 104,317,497.29
5. Step 5: Solve for x
   x = 104,317,497.29/7,591.22
6. Step 6: Final answer
   x = 13,741.86