Finding the Third Proportional to 10,324.50 and 16,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,324.50 : 16,009.50 = 16,009.50 : x
2. Step 2: Convert to fraction form
   10,324.50/16,009.50 = 16,009.50/x
3. Step 3: Cross multiply
   10,324.50x = 16,009.50 × 16,009.50
4. Step 4: Simplify right side
   10,324.50x = 256,304,090.25
5. Step 5: Solve for x
   x = 256,304,090.25/10,324.50
6. Step 6: Final answer
   x = 24,824.84