Finding the Third Proportional to 9,778.69 and 14,714.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.69 : 14,714.81 = 14,714.81 : x
2. Step 2: Convert to fraction form
   9,778.69/14,714.81 = 14,714.81/x
3. Step 3: Cross multiply
   9,778.69x = 14,714.81 × 14,714.81
4. Step 4: Simplify right side
   9,778.69x = 216,525,706.91
5. Step 5: Solve for x
   x = 216,525,706.91/9,778.69
6. Step 6: Final answer
   x = 22,142.61