Finding the Third Proportional to 9,823.50 and 10,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.50 : 10,633.50 = 10,633.50 : x
2. Step 2: Convert to fraction form
   9,823.50/10,633.50 = 10,633.50/x
3. Step 3: Cross multiply
   9,823.50x = 10,633.50 × 10,633.50
4. Step 4: Simplify right side
   9,823.50x = 113,071,322.25
5. Step 5: Solve for x
   x = 113,071,322.25/9,823.50
6. Step 6: Final answer
   x = 11,510.29