Finding the Third Proportional to 12,784 and 19,748

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 19,748 = 19,748 : x
2. Step 2: Convert to fraction form
   12,784/19,748 = 19,748/x
3. Step 3: Cross multiply
   12,784x = 19,748 × 19,748
4. Step 4: Simplify right side
   12,784x = 389,983,504
5. Step 5: Solve for x
   x = 389,983,504/12,784
6. Step 6: Final answer
   x = 30,505.59