Finding the Third Proportional to 32,256 and 49,840

Step by Step Solution

1. Step 1: Write the proportion equation
   32,256 : 49,840 = 49,840 : x
2. Step 2: Convert to fraction form
   32,256/49,840 = 49,840/x
3. Step 3: Cross multiply
   32,256x = 49,840 × 49,840
4. Step 4: Simplify right side
   32,256x = 2,484,025,600
5. Step 5: Solve for x
   x = 2,484,025,600/32,256
6. Step 6: Final answer
   x = 77,009.72