Finding the Third Proportional to 13,784 and 21,907

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784 : 21,907 = 21,907 : x
2. Step 2: Convert to fraction form
   13,784/21,907 = 21,907/x
3. Step 3: Cross multiply
   13,784x = 21,907 × 21,907
4. Step 4: Simplify right side
   13,784x = 479,916,649
5. Step 5: Solve for x
   x = 479,916,649/13,784
6. Step 6: Final answer
   x = 34,816.94