Finding the Third Proportional to 12,650 and 19,654

Step by Step Solution

1. Step 1: Write the proportion equation
   12,650 : 19,654 = 19,654 : x
2. Step 2: Convert to fraction form
   12,650/19,654 = 19,654/x
3. Step 3: Cross multiply
   12,650x = 19,654 × 19,654
4. Step 4: Simplify right side
   12,650x = 386,279,716
5. Step 5: Solve for x
   x = 386,279,716/12,650
6. Step 6: Final answer
   x = 30,535.95