Finding the Third Proportional to 32,109 and 49,414

Step by Step Solution

1. Step 1: Write the proportion equation
   32,109 : 49,414 = 49,414 : x
2. Step 2: Convert to fraction form
   32,109/49,414 = 49,414/x
3. Step 3: Cross multiply
   32,109x = 49,414 × 49,414
4. Step 4: Simplify right side
   32,109x = 2,441,743,396
5. Step 5: Solve for x
   x = 2,441,743,396/32,109
6. Step 6: Final answer
   x = 76,045.45