Finding the Third Proportional to 7,063.50 and 9,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,063.50 : 9,697.50 = 9,697.50 : x
2. Step 2: Convert to fraction form
   7,063.50/9,697.50 = 9,697.50/x
3. Step 3: Cross multiply
   7,063.50x = 9,697.50 × 9,697.50
4. Step 4: Simplify right side
   7,063.50x = 94,041,506.25
5. Step 5: Solve for x
   x = 94,041,506.25/7,063.50
6. Step 6: Final answer
   x = 13,313.73