Finding the Third Proportional to 32,166 and 50,526

Step by Step Solution

1. Step 1: Write the proportion equation
   32,166 : 50,526 = 50,526 : x
2. Step 2: Convert to fraction form
   32,166/50,526 = 50,526/x
3. Step 3: Cross multiply
   32,166x = 50,526 × 50,526
4. Step 4: Simplify right side
   32,166x = 2,552,876,676
5. Step 5: Solve for x
   x = 2,552,876,676/32,166
6. Step 6: Final answer
   x = 79,365.69