Finding the Third Proportional to 32,184 and 50,538

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 50,538 = 50,538 : x
2. Step 2: Convert to fraction form
   32,184/50,538 = 50,538/x
3. Step 3: Cross multiply
   32,184x = 50,538 × 50,538
4. Step 4: Simplify right side
   32,184x = 2,554,089,444
5. Step 5: Solve for x
   x = 2,554,089,444/32,184
6. Step 6: Final answer
   x = 79,358.98