Finding the Third Proportional to 32,818 and 50,506

Step by Step Solution

1. Step 1: Write the proportion equation
   32,818 : 50,506 = 50,506 : x
2. Step 2: Convert to fraction form
   32,818/50,506 = 50,506/x
3. Step 3: Cross multiply
   32,818x = 50,506 × 50,506
4. Step 4: Simplify right side
   32,818x = 2,550,856,036
5. Step 5: Solve for x
   x = 2,550,856,036/32,818
6. Step 6: Final answer
   x = 77,727.35