Finding the Third Proportional to 32,827 and 49,632

Step by Step Solution

1. Step 1: Write the proportion equation
   32,827 : 49,632 = 49,632 : x
2. Step 2: Convert to fraction form
   32,827/49,632 = 49,632/x
3. Step 3: Cross multiply
   32,827x = 49,632 × 49,632
4. Step 4: Simplify right side
   32,827x = 2,463,335,424
5. Step 5: Solve for x
   x = 2,463,335,424/32,827
6. Step 6: Final answer
   x = 75,039.92