Finding the Third Proportional to 11,953.50 and 16,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,953.50 : 16,822.50 = 16,822.50 : x
2. Step 2: Convert to fraction form
   11,953.50/16,822.50 = 16,822.50/x
3. Step 3: Cross multiply
   11,953.50x = 16,822.50 × 16,822.50
4. Step 4: Simplify right side
   11,953.50x = 282,996,506.25
5. Step 5: Solve for x
   x = 282,996,506.25/11,953.50
6. Step 6: Final answer
   x = 23,674.78