Finding the Third Proportional to 22,580 and 49,654

Step by Step Solution

1. Step 1: Write the proportion equation
   22,580 : 49,654 = 49,654 : x
2. Step 2: Convert to fraction form
   22,580/49,654 = 49,654/x
3. Step 3: Cross multiply
   22,580x = 49,654 × 49,654
4. Step 4: Simplify right side
   22,580x = 2,465,519,716
5. Step 5: Solve for x
   x = 2,465,519,716/22,580
6. Step 6: Final answer
   x = 109,190.42