Finding the Third Proportional to 12,530 and 19,563

Step by Step Solution

1. Step 1: Write the proportion equation
   12,530 : 19,563 = 19,563 : x
2. Step 2: Convert to fraction form
   12,530/19,563 = 19,563/x
3. Step 3: Cross multiply
   12,530x = 19,563 × 19,563
4. Step 4: Simplify right side
   12,530x = 382,710,969
5. Step 5: Solve for x
   x = 382,710,969/12,530
6. Step 6: Final answer
   x = 30,543.57