Finding the Third Proportional to 9,633.50 and 14,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.50 : 14,410.50 = 14,410.50 : x
2. Step 2: Convert to fraction form
   9,633.50/14,410.50 = 14,410.50/x
3. Step 3: Cross multiply
   9,633.50x = 14,410.50 × 14,410.50
4. Step 4: Simplify right side
   9,633.50x = 207,662,510.25
5. Step 5: Solve for x
   x = 207,662,510.25/9,633.50
6. Step 6: Final answer
   x = 21,556.29