Finding the Third Proportional to 8,611.50 and 9,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,611.50 : 9,421.50 = 9,421.50 : x
2. Step 2: Convert to fraction form
   8,611.50/9,421.50 = 9,421.50/x
3. Step 3: Cross multiply
   8,611.50x = 9,421.50 × 9,421.50
4. Step 4: Simplify right side
   8,611.50x = 88,764,662.25
5. Step 5: Solve for x
   x = 88,764,662.25/8,611.50
6. Step 6: Final answer
   x = 10,307.69