Finding the Third Proportional to 32,496 and 49,144

Step by Step Solution

1. Step 1: Write the proportion equation
   32,496 : 49,144 = 49,144 : x
2. Step 2: Convert to fraction form
   32,496/49,144 = 49,144/x
3. Step 3: Cross multiply
   32,496x = 49,144 × 49,144
4. Step 4: Simplify right side
   32,496x = 2,415,132,736
5. Step 5: Solve for x
   x = 2,415,132,736/32,496
6. Step 6: Final answer
   x = 74,320.92