Finding the Third Proportional to 10,490.50 and 18,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.50 : 18,814 = 18,814 : x
2. Step 2: Convert to fraction form
   10,490.50/18,814 = 18,814/x
3. Step 3: Cross multiply
   10,490.50x = 18,814 × 18,814
4. Step 4: Simplify right side
   10,490.50x = 353,966,596
5. Step 5: Solve for x
   x = 353,966,596/10,490.50
6. Step 6: Final answer
   x = 33,741.63