Finding the Third Proportional to 3,592.69 and 9,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,592.69 : 9,733.50 = 9,733.50 : x
2. Step 2: Convert to fraction form
   3,592.69/9,733.50 = 9,733.50/x
3. Step 3: Cross multiply
   3,592.69x = 9,733.50 × 9,733.50
4. Step 4: Simplify right side
   3,592.69x = 94,741,022.25
5. Step 5: Solve for x
   x = 94,741,022.25/3,592.69
6. Step 6: Final answer
   x = 26,370.52