Finding the Third Proportional to 10,090.50 and 14,827

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.50 : 14,827 = 14,827 : x
2. Step 2: Convert to fraction form
   10,090.50/14,827 = 14,827/x
3. Step 3: Cross multiply
   10,090.50x = 14,827 × 14,827
4. Step 4: Simplify right side
   10,090.50x = 219,839,929
5. Step 5: Solve for x
   x = 219,839,929/10,090.50
6. Step 6: Final answer
   x = 21,786.82