Finding the Third Proportional to 13,784 and 21,924

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784 : 21,924 = 21,924 : x
2. Step 2: Convert to fraction form
   13,784/21,924 = 21,924/x
3. Step 3: Cross multiply
   13,784x = 21,924 × 21,924
4. Step 4: Simplify right side
   13,784x = 480,661,776
5. Step 5: Solve for x
   x = 480,661,776/13,784
6. Step 6: Final answer
   x = 34,870.99