Finding the Third Proportional to 32,377 and 50,003

Step by Step Solution

1. Step 1: Write the proportion equation
   32,377 : 50,003 = 50,003 : x
2. Step 2: Convert to fraction form
   32,377/50,003 = 50,003/x
3. Step 3: Cross multiply
   32,377x = 50,003 × 50,003
4. Step 4: Simplify right side
   32,377x = 2,500,300,009
5. Step 5: Solve for x
   x = 2,500,300,009/32,377
6. Step 6: Final answer
   x = 77,224.57