Finding the Third Proportional to 10,786 and 14,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786 : 14,494.50 = 14,494.50 : x
2. Step 2: Convert to fraction form
   10,786/14,494.50 = 14,494.50/x
3. Step 3: Cross multiply
   10,786x = 14,494.50 × 14,494.50
4. Step 4: Simplify right side
   10,786x = 210,090,530.25
5. Step 5: Solve for x
   x = 210,090,530.25/10,786
6. Step 6: Final answer
   x = 19,478.08