Finding the Third Proportional to 32,816 and 50,502

Step by Step Solution

1. Step 1: Write the proportion equation
   32,816 : 50,502 = 50,502 : x
2. Step 2: Convert to fraction form
   32,816/50,502 = 50,502/x
3. Step 3: Cross multiply
   32,816x = 50,502 × 50,502
4. Step 4: Simplify right side
   32,816x = 2,550,452,004
5. Step 5: Solve for x
   x = 2,550,452,004/32,816
6. Step 6: Final answer
   x = 77,719.77