Finding the Third Proportional to 16,784 and 22,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,784 : 22,714.50 = 22,714.50 : x
2. Step 2: Convert to fraction form
   16,784/22,714.50 = 22,714.50/x
3. Step 3: Cross multiply
   16,784x = 22,714.50 × 22,714.50
4. Step 4: Simplify right side
   16,784x = 515,948,510.25
5. Step 5: Solve for x
   x = 515,948,510.25/16,784
6. Step 6: Final answer
   x = 30,740.50