Finding the Third Proportional to 10,234.00 and 15,287.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.00 : 15,287.80 = 15,287.80 : x
2. Step 2: Convert to fraction form
   10,234.00/15,287.80 = 15,287.80/x
3. Step 3: Cross multiply
   10,234.00x = 15,287.80 × 15,287.80
4. Step 4: Simplify right side
   10,234.00x = 233,716,852.73
5. Step 5: Solve for x
   x = 233,716,852.73/10,234.00
6. Step 6: Final answer
   x = 22,837.29