Finding the Third Proportional to 7,573.50 and 9,659.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,573.50 : 9,659.25 = 9,659.25 : x
2. Step 2: Convert to fraction form
   7,573.50/9,659.25 = 9,659.25/x
3. Step 3: Cross multiply
   7,573.50x = 9,659.25 × 9,659.25
4. Step 4: Simplify right side
   7,573.50x = 93,301,110.56
5. Step 5: Solve for x
   x = 93,301,110.56/7,573.50
6. Step 6: Final answer
   x = 12,319.42