Finding the Third Proportional to 32,654 and 50,655

Step by Step Solution

1. Step 1: Write the proportion equation
   32,654 : 50,655 = 50,655 : x
2. Step 2: Convert to fraction form
   32,654/50,655 = 50,655/x
3. Step 3: Cross multiply
   32,654x = 50,655 × 50,655
4. Step 4: Simplify right side
   32,654x = 2,565,929,025
5. Step 5: Solve for x
   x = 2,565,929,025/32,654
6. Step 6: Final answer
   x = 78,579.32